Find the matrices: a)A + B b) A - B c) -4A d)3A + 2B. A=begin{bmatrix}3&1 &1-1&2&5 end{bmatrix} , B=begin{bmatrix}2&-3 &6-3&1&-4 end{bmatrix}

arenceabigns

arenceabigns

Answered question

2021-03-02

Find the matrices:
a)A + B
b) A - B
c) -4A
d)3A + 2B.
A=[311125],B=[236314]

Answer & Explanation

tabuordy

tabuordy

Skilled2021-03-03Added 90 answers

Step 1
Consider the given matrices
A=[311125],B=[236314]
Step 2
(a) part
Now,
A+B=[311125]+[236314]
=[3+21+(3)1+61+(3)2+15+(4)]
=[51371331]
=[527431]
Hence, the required sum of matrices A and B is A+B=[527431]
Step 3
(b) part
To find the difference of matirces A-B
AB=[311125][236314]
=[321(3)161(3)215(4)]
=[11+351+315+4]
=[145219]
Hence, the required sum of matrices A and B is AB=[145219]
Step 4
(c) part
Since, A=[311125] So , 4A=4×[311125]
=[4×34×14×14×(1)4×24×5]
[12444820] hence, the required matrix −4A is 4A=[12444820]
Step 5
(d) part
First find 3A,
Since, A=[311125] Then , 3A=3×[311125]
=[3×33×13×13×(1)3×23×5]
[9333615]
Now find matrix 2B,
Since, B=[236314]
Then, 2B=2×[236314]
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-14Added 2605 answers

Answer is given below (on video)

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