Subtract the Matrices

Problem

−4*[[10,3,5],[11,−2,5],[6,8,14]]−6*[[−13,3,−13],[−4,6,14],[5,14,−4]]

Solution

1. Distribute the scalar −4 into the first matrix by multiplying every element by −4

−4*[[10,3,5],[11,−2,5],[6,8,14]]=[[−40,−12,−20],[−44,8,−20],[−24,−32,−56]]

2. Distribute the scalar −6 into the second matrix by multiplying every element by −6

−6*[[−13,3,−13],[−4,6,14],[5,14,−4]]=[[78,−18,78],[24,−36,−84],[−30,−84,24]]

3. Add the resulting matrices by summing the corresponding elements from each matrix.

[[−40+78,−12−18,−20+78],[−44+24,8−36,−20−84],[−24−30,−32−84,−56+24]]

4. Simplify the arithmetic for each entry to find the final matrix.

[[38,−30,58],[−20,−28,−104],[−54,−116,−32]]

Final Answer

−4*[[10,3,5],[11,−2,5],[6,8,14]]−6*[[−13,3,−13],[−4,6,14],[5,14,−4]]=[[38,−30,58],[−20,−28,−104],[−54,−116,−32]]

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