Formulate the method for adding partitioned matrices, and verify your method by partitioning the matrices in two different ways and finding their sum. A=begin{bmatrix}1 & 3 & -1 2 & 1 & 0 2 & -3 &1 end{bmatrix} text{ and } B=begin{bmatrix}3 & 2 & 1 -2 & 3 & 1 4 & 1 &5 end{bmatrix}

sagnuhh 2020-10-27 Answered
Formulate the method for adding partitioned matrices,
and verify your method by partitioning the matrices in two different ways and finding their sum.
A=[131210231] and B=[321231415]
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Expert Answer

Alannej
Answered 2020-10-28 Author has 104 answers
Step 1
The given two matrices are ,
A=[131210231]
B=[321231415]
finding the sum of matrices , A+B
A+B=[131210231]+[321231415]
=[(1+3)(3+2)(1+1)(2+(2))(1+3)(0+1)(2+4)(3+1)(1+5)]
=[450041626]
Therefore , the sum of the given two matrices is [450041626]
Step 2
To verify it ,we change the position of the matrices and find the sum of B+A
Finding the sum of matrices , B+A
B+A=[321231415]+[131210231]
=[(3+1)(2+3)(1+(1))((2)+2)(3+1)(1+0)(4+2)(1+(3))(5+1)]
=[450041626]
Therefore , the sum of the given two matrices is [450041626]
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Jeffrey Jordon
Answered 2022-01-23 Author has 2047 answers

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