If A =[1,2,4,3], find B such that A+B=0

Wierzycaz

Wierzycaz

Answered question

2021-02-14

If A=[1,2,4,3], find B such that A+B=0

Answer & Explanation

Lacey-May Snyder

Lacey-May Snyder

Skilled2021-02-15Added 88 answers

Recall: Theorem: The matrix addition is associative that is let A,B,C be matrices of order M x n. Then, (A+B)+C=A+(B+C).
Theorem: The matrix addition is commutative that is let A and B be matrices of order M x n. Then A+B=B+A.
The given matrix is, A=[1,2,4,3].
We have to find a matrix B such that A+B=0, where 0 is the zero matrix. Now,
A+B=0
B+A=0
(B+A)A=0A
B+(AA)=A
B+0=A
B=A
B=[1,2,4,3]
B=[1,2,4,3]
Therefore, when A=[1,2,4,3], for B=[1,2,4,3],A+B=0.

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