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If A={bmatrix} 0 & {-1} 4 & {-3} {bmatrix}, B={bmatrix} {-5}

Question

If $A = [04 - 1 - 3]$ , $B = [- 5 6]$ and $3 A \times M = 2 B$
find matrix $M .$

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Amelia Discussed

If

A = [04 - 1 - 3]

,

B = [- 5 6]

and

3 A \times M = 2 B

find matrix

M .

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

A = [04 - 1 - 3] B = [- 5 6] 3 A = [012 - 3 - 9]_{2 \times 2} 2 B = [- 10 12]_{2 \times 1}

So dimension of

M

is

2 \times 1

Let's assume

M = [a b]

3 A \times M = 2 B

[012 - 3 - 9] \times [a b] = [- 10 12]

or

[- 3 b 12 a - 9 b] = [- 10 12]

or

- 3 b = - 10 b = \frac{10}{3}

12 a - 9 b = 12

or

12 a - 30 = 12

or

12 a = 42

or

a = \frac{42}{12} = \frac{7}{2} M = ⎣ ⎡ \frac{7}{2} \frac{10}{3} ⎦ ⎤

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Question Text	If $A = [04 - 1 - 3]$ , $B = [- 5 6]$ and $3 A \times M = 2 B$ find matrix $M .$
Answer Type	Text solution:1
Upvotes	150