Find the products AB and BA for the diagonal matrices. A=begin{bmatrix}3 & 0 &0 0 & -5&0 0&0&0 end{bmatrix}, B=begin{bmatrix}-7 & 0 &0 0 &4&0 0&0&12 end{bmatrix}

Tazmin Horton 2021-01-02 Answered
Find the products AB and BA for the diagonal matrices.
A=[300050000],B=[7000400012]
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Expert Answer

SchulzD
Answered 2021-01-03 Author has 83 answers
Step 1
Given the diagonal matrix:
A=[300050000],B=[7000400012]
Step 2
Multiply the given matrix:
AB=[300050000][7000400012]
=[3(7)+00+0030+04+0030+00+0120(7)+(5)0+0000+(5)4+0000+(5)0+0120(7)+00+0000+04+0000+00+012]

=[21000200000] Since the multiplication of diagonal matrices is commutative.
That is
If A and B are diagonal matrices, then AB = BA.
Thus,
AB=BA=[21000200000]
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Jeffrey Jordon
Answered 2022-01-15 Author has 2064 answers

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