Question

Let A = [-5 2 ]and B = [1 0] . Find 2A + 3B

Answer 1

Answer:

-74

Step-by-step explanation:

A = [-5 2 ]and B = [1 0]

Put Value of A and B in 2A + 3B

2x(-52)+3x(10)

= -74

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Answer 2

Given:

A= [-5 2 ] and B= [1 0]

To find:

2A + 3B

Solution:

The value of (2A + 3B) is $\left[\begin{array}{ccc}-7&4\end{array}\right]$.

We can find the solution by taking the following steps-

We know that the sum can be obtained by multiplying the matrices with 2 and 3 and then adding them.

It is given to us that A= [-5 2 ] and B= [1 0].

So, 2A can be obtained by multiplying 2 and [-5 2 ].

2A=2×A

=2×[-5 2 ]

= $\left[\begin{array}{ccc}-10&4\end{array}\right]$

Similarly, 3B can be obtained by multiplying 3 and [1 0].

3B=3×B

=3×[1 0]

= $\left[\begin{array}{ccc}3&0\end{array}\right]$

To add these matrices, we need to add the terms in the matrices.

On adding these, we get

2A+3B=$\left[\begin{array}{ccc}-10&4\end{array}\right]$+$\left[\begin{array}{ccc}3&0\end{array}\right]$

= $\left[\begin{array}{ccc}-7&4\end{array}\right]$

Therefore, the value of (2A + 3B) is $\left[\begin{array}{ccc}-7&4\end{array}\right]$.