Given two 2x2 matrices A = ( begin{bmatrix} 1 & 2 3 & 4 end{bmatrix} ) and B = ( begin{bmatrix} 5 & 6 7 & 8 end{bmatrix} ), what is the result of A - B?

Question

Given two 2x2 matrices A = ( begin{bmatrix} 1 & 2  3 & 4 end{bmatrix} ) and B = ( begin{bmatrix} 5 & 6  7 & 8 end{bmatrix} ), what is the result of A - B?

Accepted Answer

Step:1 ：First, set up the subtraction. ( A - B = begin{bmatrix} 1 & 2  3 & 4 end{bmatrix} - begin{bmatrix} 5 & 6  7 & 8 end{bmatrix} )Step:2 ：Subtract the corresponding elements in the matrices. The element in the first row and first column of the result is (1 - 5 = -4). The element in the first row and second column is (2 - 6 = -4). The element in the second row and first column is (3 - 7 = -4). The element in the second row and second column is (4 - 8 = -4).Step:3 ：So, ( A - B = begin{bmatrix} -4 & -4  -4 & -4 end{bmatrix} )

Answer

Step: 1 ：First, set up the subtraction. ( A - B = begin{bmatrix} 1 & 2  3 & 4 end{bmatrix} - begin{bmatrix} 5 & 6  7 & 8 end{bmatrix} )Step: 2 ：Subtract the corresponding elements in the matrices. The element in the first row and first column of the result is (1 - 5 = -4). The element in the first row and second column is (2 - 6 = -4). The element in the second row and first column is (3 - 7 = -4). The element in the second row and second column is (4 - 8 = -4).Step: 3 ：So, ( A - B = begin{bmatrix} -4 & -4  -4 & -4 end{bmatrix} )

Given two 2x2 matrices A = $[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]$ and B = $[\begin{matrix} 5 & 6 \\ 7 & 8 \end{matrix}]$ , what is the result of A - B?

Answer

Popular Problems

Given two 2x2 matrices A = [1234] and B = [5678], what is the result of A - B?

Answer

Popular Problems

Given two 2x2 matrices A = $[\begin{matrix} 1 & 2 \\ 3 & 4 \end{matrix}]$ and B = $[\begin{matrix} 5 & 6 \\ 7 & 8 \end{matrix}]$ , what is the result of A - B?