|
| 1 | +/* Title : Operations on matrices . |
| 2 | +
|
| 3 | + Description : User need to enter the elements of the matrix A and B . |
| 4 | + Operations will be done on the matrices : 1.To add 2.To Subtract |
| 5 | + 3.To multiply . User need to choose it. |
| 6 | + The maximum limit of total number of rows and columns : 8 |
| 7 | + You can't generate the matrices having more than 8 number of rows and columns . |
| 8 | +
|
| 9 | + Here , if the both matrices are of square matrix only then the multiplication can be |
| 10 | + done . i.e Rows(A)==Columns(B) equal fOR BA multiplication |
| 11 | + and Rows(B)==Columns(A) equal fOR BA multiplication . multiplication rule. |
| 12 | + This is done here to maintain the formate of the code and to maintain the |
| 13 | + multiplication of matices . |
| 14 | + Addition and subtraction are done as the Matrix A and B both are having same number of rows and columns . |
| 15 | +*/ |
| 16 | +import java.util.Scanner; |
| 17 | +public class matrices |
| 18 | +{ |
| 19 | + public final static int MAXLIMIT=8; |
| 20 | + public static void main(String[] args) |
| 21 | + { |
| 22 | + Scanner input=new Scanner (System.in); |
| 23 | + int opt ; |
| 24 | + |
| 25 | + do // Enter the data needed . |
| 26 | + { |
| 27 | + System.out.println(" Enter the number of rows and columns (Maximum limit is 8 ) : \n"); |
| 28 | + int row=input.nextInt(); |
| 29 | + int col=input.nextInt(); |
| 30 | + double a[][]=new double[row][col]; |
| 31 | + double b[][]=new double[row][col]; |
| 32 | + |
| 33 | + |
| 34 | + if((row>MAXLIMIT)||(col>MAXLIMIT)||(row<1)||(col<1)) |
| 35 | + { System.out.println("\n Invalid Enteries !! \n Please try again later ."); |
| 36 | + System.exit(0); |
| 37 | + } |
| 38 | + else |
| 39 | + { System.out.println("\n ENTER THE ELEMENTS OF MATRIX A "); // Enter Matrix A |
| 40 | + |
| 41 | + for(int i=0;i<row;i++) |
| 42 | + { |
| 43 | + for(int j=0;j<col;j++) |
| 44 | + |
| 45 | + { a[i][j]=input.nextDouble(); |
| 46 | + |
| 47 | + } } |
| 48 | + |
| 49 | + |
| 50 | + System.out.println("\n ENTER THE ELEMENTS OF MATRIX B"); // Enter Matrix B |
| 51 | + |
| 52 | + for(int i=0;i<row;i++) |
| 53 | +{ |
| 54 | + for(int j=0;j<col;j++) |
| 55 | + |
| 56 | + { b[i][j]=input.nextDouble(); } } |
| 57 | + |
| 58 | + } |
| 59 | + |
| 60 | + System.out.println(); |
| 61 | + |
| 62 | + System.out.println(" ELEMENTS OF MATRIX A"); // Matrix A |
| 63 | + for(int i=0;i<row;i++) |
| 64 | + { |
| 65 | + for(int j=0;j<col;j++) |
| 66 | + { System.out.print( a[i][j]+ "\t"); } |
| 67 | + System.out.println("\n"); |
| 68 | + } |
| 69 | + |
| 70 | + System.out.println(); |
| 71 | + |
| 72 | + System.out.println(" ELEMENTS OF MATRIX B"); // Matrix B |
| 73 | + for(int i=0;i<row;i++) |
| 74 | + { |
| 75 | + for(int j=0;j<col;j++) |
| 76 | + { System.out.print( b[i][j]+ "\t"); } |
| 77 | + System.out.println("\n"); |
| 78 | + } |
| 79 | + |
| 80 | + |
| 81 | + |
| 82 | + int i, j ; |
| 83 | + System.out.println("\n1.Add \n2.Subtraction \n3.Multiplication "); |
| 84 | + opt=input.nextInt(); |
| 85 | + System.out.println(); |
| 86 | + |
| 87 | + switch(opt) |
| 88 | + { |
| 89 | + case 1 : double add[][]=new double [row][col]; // Addition of matrices A and B . |
| 90 | + System.out.println("Addition of matrix A and B : "); |
| 91 | + for(i=0;i<row;i++) |
| 92 | + { |
| 93 | + for(j=0;j<col;j++) |
| 94 | + { add[i][j]=a[i][j] + b[i][j]; |
| 95 | + System.out.print(add[i][j] +"\t"); } |
| 96 | + System.out.println(); } |
| 97 | + System.out.println(); |
| 98 | + break ; |
| 99 | + |
| 100 | + case 2 : double sub1[][]=new double [row][col]; // Subtraction of matrix A from B . |
| 101 | + System.out.println("Subtraction of matrix A from B : "); |
| 102 | + for(i=0;i<row;i++) |
| 103 | + { |
| 104 | + for(j=0;j<col;j++) |
| 105 | + { sub1[i][j]= -a[i][j] + b[i][j]; |
| 106 | + System.out.print(sub1[i][j] +"\t"); } |
| 107 | + System.out.println(); } |
| 108 | + |
| 109 | + System.out.println(); |
| 110 | + |
| 111 | + double sub2[][]=new double [row][col]; // Subtraction of matrix B from A . |
| 112 | + System.out.println("Subtraction of matrix B from A : "); |
| 113 | + for(i=0;i<row;i++) |
| 114 | + { |
| 115 | + for(j=0;j<col;j++) |
| 116 | + { sub2[i][j]= a[i][j] - b[i][j]; |
| 117 | + System.out.print(sub2[i][j] +"\t"); } |
| 118 | + System.out.println(); } |
| 119 | + System.out.println(); |
| 120 | + break ; |
| 121 | + |
| 122 | + |
| 123 | + case 3 : |
| 124 | + System.out.println("Matrix multiplication is not commutative always.\n i.e A*B is not equals to B*A. \n"); |
| 125 | + if(row==col) |
| 126 | + { |
| 127 | + // Multiply matrix A and B . i.e : AB |
| 128 | + int k; |
| 129 | + double sum=0 ; |
| 130 | + double mul1[][]=new double [row][col]; |
| 131 | + System.out.println(" Multiplication of matrices A and B : AB "); |
| 132 | + for(i=0;i<row;i++) |
| 133 | + { |
| 134 | + for(j=0;j<col;j++) |
| 135 | + { |
| 136 | + for(k=0;k<col;k++) |
| 137 | + { mul1[i][j]=mul1[i][j] + a[i][k]*b[k][j]; } |
| 138 | + } |
| 139 | + System.out.println(); } |
| 140 | + |
| 141 | + for(i=0;i<col;i++) |
| 142 | + { |
| 143 | + for(j=0;j<col;j++) |
| 144 | + { System.out.print(mul1[i][j] +"\t"); } |
| 145 | + System.out.println(); |
| 146 | + } |
| 147 | + System.out.println(); |
| 148 | + |
| 149 | + |
| 150 | + // Multiply matrix B and A . i.e : BA |
| 151 | + |
| 152 | + double mul2[][]=new double [row][col]; |
| 153 | + System.out.println(" Multiplication of matrices A and B : BA "); |
| 154 | + for(i=0;i<row;i++) |
| 155 | + { |
| 156 | + for(j=0;j<col;j++) |
| 157 | + { |
| 158 | + for(k=0;k<col;k++) |
| 159 | + { mul2[i][j]=mul2[i][j] + b[i][k]*a[k][j]; } |
| 160 | + } |
| 161 | + System.out.println(); } |
| 162 | + |
| 163 | + for(i=0;i<col;i++) |
| 164 | + { |
| 165 | + for(j=0;j<col;j++) |
| 166 | + { System.out.print(mul2[i][j] +"\t"); } |
| 167 | + System.out.println(); |
| 168 | + } |
| 169 | + } |
| 170 | + else |
| 171 | + { |
| 172 | + System.out.println(" Multiplication is not valid . \n"); |
| 173 | + } |
| 174 | + System.out.println(); |
| 175 | + break ; |
| 176 | + } |
| 177 | + |
| 178 | + System.out.println(" Do you wish to continue ? \n1.Yes 2.No\n" ); |
| 179 | + opt=input.nextInt(); |
| 180 | + }while(opt!=2); |
| 181 | + |
| 182 | +}} |
| 183 | + |
| 184 | + |
| 185 | +/* |
| 186 | +
|
| 187 | +Enter the number of rows and columns (Maximum limit is 8 ) : |
| 188 | +
|
| 189 | +2 |
| 190 | +2 |
| 191 | +
|
| 192 | + ENTER THE ELEMENTS OF MATRIX A |
| 193 | +1 |
| 194 | +2 |
| 195 | +3 |
| 196 | +4 |
| 197 | +
|
| 198 | + ENTER THE ELEMENTS OF MATRIX B |
| 199 | +2 |
| 200 | +2 |
| 201 | +2 |
| 202 | +2 |
| 203 | +
|
| 204 | + ELEMENTS OF MATRIX A |
| 205 | +1.0 2.0 |
| 206 | +
|
| 207 | +3.0 4.0 |
| 208 | +
|
| 209 | + ELEMENTS OF MATRIX B |
| 210 | +2.0 2.0 |
| 211 | +
|
| 212 | +2.0 2.0 |
| 213 | +
|
| 214 | +
|
| 215 | +1.Add |
| 216 | +2.Subtraction |
| 217 | +3.Multiplication |
| 218 | +1 |
| 219 | +
|
| 220 | +Addition of matrix A and B : |
| 221 | +3.0 4.0 |
| 222 | +5.0 6.0 |
| 223 | +
|
| 224 | + Do you wish to continue ? |
| 225 | +1.Yes 2.No |
| 226 | +1 |
| 227 | +
|
| 228 | + Enter the number of rows and columns (Maximum limit is 8 ) : |
| 229 | +
|
| 230 | +3 |
| 231 | +3 |
| 232 | +
|
| 233 | + ENTER THE ELEMENTS OF MATRIX A |
| 234 | +12 |
| 235 | +13 |
| 236 | +14 |
| 237 | +15 |
| 238 | +16 |
| 239 | +17 |
| 240 | +18 |
| 241 | +19 |
| 242 | +20 |
| 243 | +
|
| 244 | + ENTER THE ELEMENTS OF MATRIX B |
| 245 | +2 |
| 246 | +2 |
| 247 | +2 |
| 248 | +2 |
| 249 | +2 |
| 250 | +2 |
| 251 | +2 |
| 252 | +2 |
| 253 | +2 |
| 254 | +
|
| 255 | + ELEMENTS OF MATRIX A |
| 256 | +12.0 13.0 14.0 |
| 257 | +
|
| 258 | +15.0 16.0 17.0 |
| 259 | +
|
| 260 | +18.0 19.0 20.0 |
| 261 | +
|
| 262 | + ELEMENTS OF MATRIX B |
| 263 | +2.0 2.0 2.0 |
| 264 | +
|
| 265 | +2.0 2.0 2.0 |
| 266 | +
|
| 267 | +2.0 2.0 2.0 |
| 268 | +
|
| 269 | +
|
| 270 | +1.Add |
| 271 | +2.Subtraction |
| 272 | +3.Multiplication |
| 273 | +2 |
| 274 | +
|
| 275 | +Subtraction of matrix A from B : |
| 276 | +-10.0 -11.0 -12.0 |
| 277 | +-13.0 -14.0 -15.0 |
| 278 | +-16.0 -17.0 -18.0 |
| 279 | +
|
| 280 | +Subtraction of matrix B from A : |
| 281 | +10.0 11.0 12.0 |
| 282 | +13.0 14.0 15.0 |
| 283 | +16.0 17.0 18.0 |
| 284 | +
|
| 285 | + Do you wish to continue ? |
| 286 | +1.Yes 2.No |
| 287 | +1 |
| 288 | +
|
| 289 | + Enter the number of rows and columns (Maximum limit is 8 ) : |
| 290 | +
|
| 291 | +2 |
| 292 | +2 |
| 293 | +
|
| 294 | + ENTER THE ELEMENTS OF MATRIX A |
| 295 | +1 |
| 296 | +2 |
| 297 | +44 |
| 298 | +45 |
| 299 | +
|
| 300 | + ENTER THE ELEMENTS OF MATRIX B |
| 301 | +2 |
| 302 | +2 |
| 303 | +3 |
| 304 | +33 |
| 305 | +
|
| 306 | + ELEMENTS OF MATRIX A |
| 307 | +1.0 2.0 |
| 308 | +
|
| 309 | +44.0 45.0 |
| 310 | +
|
| 311 | + ELEMENTS OF MATRIX B |
| 312 | +2.0 2.0 |
| 313 | +
|
| 314 | +3.0 33.0 |
| 315 | +
|
| 316 | +
|
| 317 | +1.Add |
| 318 | +2.Subtraction |
| 319 | +3.Multiplication |
| 320 | +3 |
| 321 | +
|
| 322 | +Matrix multiplication is not commutative always. |
| 323 | + i.e A*B is not equals to B*A . |
| 324 | +
|
| 325 | + Multiplication of matrices A and B : AB |
| 326 | +
|
| 327 | +
|
| 328 | +8.0 68.0 |
| 329 | +223.0 1573.0 |
| 330 | +
|
| 331 | + Multiplication of matrices A and B : BA |
| 332 | +
|
| 333 | +
|
| 334 | +90.0 94.0 |
| 335 | +1455.0 1491.0 |
| 336 | +
|
| 337 | + Do you wish to continue ? |
| 338 | +1.Yes 2.No |
| 339 | +2 |
| 340 | +*/ |
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