Question

Find the sum or the difference of the matrices. $$ \left[\begin{array}{rr}4 & -8 \\\7 & 0\end{array}\right]-\left[\begin{array}{rr}-5 & 3 \\\\-5 & -7\end{array}\right] $$

Short answer

Hence, the subtraction of the two given matrices results in the matrix [9 -11 // 12 7]

Step-by-step solution

Identify the corresponding components of both matrices

For the first matrix [4 -8 // 7 0] and the second matrix [-5 3 // -5 -7], the corresponding components to subtract would be 4 from -5, -8 from 3, 7 from -5, and 0 from -7.

Carry out the subtractions

Subtracting the corresponding components gives: (4 - -5), (-8 - 3), (7 - -5) and (0 - -7). That simplifies to: 4 + 5; -8 - 3; 7 + 5; and 0 + 7 respectively.

Obtain the final matrix

Upon performing the above operations, we have [9 -11 // 12 7] as the resultant matrix.