Let the matrix A,B, C and D be as given. Find the product of the sum of A and B and the difference between C and D. A=begin{bmatrix}1 & 0 0 & 1 end{bmatrix},B=begin{bmatrix}1 & 0 0 & -1 end{bmatrix},C=begin{bmatrix}-1 & 0 0& 1 end{bmatrix},D=begin{bmatrix}-1 & 0 0 & -1 end{bmatrix}

Phoebe 2021-02-06 Answered
Let the matrix A,B, C and D be as given. Find the product of the sum of A and B and the difference between C and D.
A=[1001],B=[1001],C=[1001],D=[1001]
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Expert Answer

SkladanH
Answered 2021-02-07 Author has 80 answers
Step 1
From the given matrices,
A+B=[1001]+[1001]=[2000]
CD=[1001][1001]=[0002]
Step 2
Now compute the product as follows.
(A+B)(CD)=[2000][0002]=[0000]
Thus, the product of the sum of A and B and the difference between C and D is zero matrix.
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Jeffrey Jordon
Answered 2022-01-29 Author has 2047 answers

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