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

Phoebe

Answered question

2021-02-06

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]

Answer & Explanation

SkladanH

SkladanH

Skilled2021-02-07Added 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.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-29Added 2605 answers

Answer is given below (on video)

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