Matrix Subtraction

The matrix subtraction is the operation of subtracting two matrices by subtracting the corresponding entries together. However, there is another operation which could also be considered as a kind of subtraction for matrices. The solving of matrix subtraction in the operation each element description for subtraction operation it is clearly shown in the following.

• Solve for the resultant matrix of subtraction operation on the matrix N = `[[53,52,51],[52,52,50],[31,32,31]]` and B = `[[52,52,52],[22,22,22],[12,12,12]]`

Solution:

The given matrix having the same rows of 3 and same columns of 3 in both.

N = `[[N_11,N_12 ,N_13 ],[N_21 ,N_22 ,N_23 ],[N_31 ,N_32 ,N_33 ]]` and B = `[[B_11,B_12 ,B_13 ],[B_21 ,B_22 ,B_23 ],[B_31 ,B_32 ,B_33 ]]`

N - B = `[[N_11 - B_11,N_12 - B_12,N_13 - B_13],[N_21 - B_21,N_22 - B_22,N_23 - B_23],[N_31 - B_31,N_32 - B_32,N_33 - B_33]]`

N - B = `[[53-52,52-52,51-52],[52-22,52-22,50-22],[31-12,32-12,31-12]]`

N - B = `[[1,0,-1],[30,30,28],[19,20,19]]`

• Solve for the resultant matrix of subtraction operation on the matrix N = `[[53,52],[52,52],[31,32]]` and B = `[[52,52],[22,22],[12,12]]`

Solution:

The given matrix having the same rows of 3 and same columns of 2 in both.

N = `[[N_11,N_12 ],[N_21 ,N_22 ],[N_31 ,N_32 ]]` and B = `[[B_11,B_12 ],[B_21 ,B_22 ],[B_31 ,B_32 ]]`

N - B = `[[N_11 - B_11,N_12 - B_12],[N_21 - B_21,N_22 - B_22],[N_31 - B_31,N_32 - B_32]]`

N - B = `[[53-52,52-52],[52-22,52-22],[31-12,32-12]]`

N - B = `[[1,0],[30,30],[19,20]]`

• Solve for the resultant matrix of subtraction operation on the matrix N = `[[53,52,51],[52,52,50]]` and B = `[[52,52,52],[22,22,22]]`

Solution:

The given matrix having the same rows of 2 and same columns of 3 in both.

N = `[[N_11,N_12 ,N_13 ],[N_21 ,N_22 ,N_23 ]]` and B = `[[B_11,B_12 ,B_13 ],[B_21 ,B_22 ,B_23 ]]`

N - B = `[[N_11 - B_11,N_12 - B_12,N_13 - B_13],[N_21 - B_21,N_22 - B_22,N_23 - B_23]]`

N - B = `[[53-52,52-52,51-52],[52-22,52-22,50-22]]`

N - B = `[[1,0,-1],[30,30,28]]`

• Solve for the resultant matrix of subtraction operation on the matrix N = `[[53],[52],[31]]` and B = `[[52],[22],[12]]`

Solution:

The given matrix having the same rows of 3 and same columns of 1 in both.

N = `[[N_11 ],[N_21 ],[N_31 ]]` and B = `"[[B_11 ],[B_21`

N - B = `"[[N_11 - `

N - B = `[[53-52],[52-22],[31-12]]`

N - B = `[[1],[30],[19]]`

• Solve for the resultant matrix of subtraction operation on the matrix N = `[[53,52,51]]` and B = `[[52,52,52]]`

Solution:

The given matrix having the same rows of 1 and same columns of 3 in both.

N = `[[N_11,N_12 ,N_13 ]]` and B = `"[[B_11,B_12 `

N - B = `"[[N_11 - `

N - B = `[[53-52,52-52,51-52]]`

N - B = `[[1,0,-1]]`