Find the values of m and k so that begin{bmatrix}1 & -2 m & 3 end{bmatrix} cdot begin{bmatrix}k & 0&2 -1 & 3 & 4 end{bmatrix} = begin{bmatrix}3 & -6&-6 -1 & 9 & 16 end{bmatrix}

ruigE 2021-03-01 Answered
Find the values of m and k so that
[12m3][k02134]=[3661916]
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Expert Answer

Anonym
Answered 2021-03-02 Author has 108 answers
Step 1
According to the given information, it is required to determine the values of m and n. [12m3][k02134]=[3661916]
Step 2
First multiply the matrices.
[12m3][k02134]=[1(k)+(2)(1)1(0)+(2)(3)1(2)+(2)(4)mk30+3(3)2m+12]
[12m3][k02134]=[k+266mk392m+12]
Step 3
Two matrices are equal if their corresponding entries are equal.
A=Baij=bij
[k+266mk392m+12]=[3661916]
so,
k+2=3
k=1
2m+12=16
2m=4
m=2
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Jeffrey Jordon
Answered 2022-01-23 Author has 2047 answers

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