Find if possible the matrices: a) AB b) BA A=begin{bmatrix} -1 -2 -3 end{bmatrix} , B=begin{bmatrix}1 & 2 & 3 end{bmatrix}

babeeb0oL 2021-01-02 Answered
Find if possible the matrices:
a) AB
b) BA
A=[123],B=[123]
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Expert Answer

broliY
Answered 2021-01-03 Author has 97 answers

Step 1
Given that:
The matrices,
A=[123],B=[123]
Step 2
We know that,
Finding the product of two matrices is only possible when the inner dimension are same , meaning that the number of columns of the first matrix is equal to the number of rows of the second matrix.
a) To find AB :
Let, A=[123],B=[123]
Number of columns of first matrix (A) is 1 .
Number of rows of the second matrix is 1.
To get,
Step 3
Number of columns of A= Number of rows of B=1.
Then,
AB=[123][123]=[1(1)(2)(2)(3)(3)]=[149]
To get,
AB=[149]
b) To find BA :
Number of columns of first matrix B is 3 and number of rows of matrix A is 3 which are equal .
Then,
Step 4
BA=[123][123]=[1(1)+2(2)+3(3)]=[149]=[14]
Therefore,
a) AB=[149]
b) BA=[14]

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Jeffrey Jordon
Answered 2022-01-22 Author has 2262 answers

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