Given the matrices A=begin{bmatrix}-2 & 5 -5 & -5 end{bmatrix} text{ and } B=begin{bmatrix}-5 2 end{bmatrix} AB=?

snowlovelydayM

snowlovelydayM

Answered question

2020-11-23

Given the matrices A=[2555] and B=[52] AB=?

Answer & Explanation

svartmaleJ

svartmaleJ

Skilled2020-11-24Added 92 answers

Step 1
Given matrices
A=[2555] and B=[52]
Order of matrix A=(2×2)
Order of matrix B=(2×1)
Here, we see that number of elements in one row of matrix A are equal to number of elements in one column of matrix B.
Hence, the matrices are fit to go with multiplication. Or their multiplication is possible.
Step 2
Multiplying matrices A and B
AB=[2555]×[52]
AB=[(2)(5)+52(5)(5)+(5)2]
AB=[10+102510]
AB=[2015]

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