Knowee
Questions
Features
Study Tools

Perform the indicated operations.$7\left(\begin{bmatrix}-1&0\\8&-4\\-3&5\end{bmatrix}-\begin{bmatrix}4&3\\6&0\\5&1\end{bmatrix}\right)=$7([−1 08 −4−3 5]−[4 36 05 1])=​

Question

Perform the indicated operations.7([108435][436051])=7\left(\begin{bmatrix}-1&0\\8&-4\\-3&5\end{bmatrix}-\begin{bmatrix}4&3\\6&0\\5&1\end{bmatrix}\right)=7([−1 08 −4−3 5]−[4 36 05 1])=​

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

First, we need to subtract the two matrices:

[108435][436051]=[140386403551] \begin{bmatrix}-1&0\\8&-4\\-3&5\end{bmatrix}-\begin{bmatrix}4&3\\6&0\\5&1\end{bmatrix} = \begin{bmatrix}-1-4&0-3\\8-6&-4-0\\-3-5&5-1\end{bmatrix}

This simplifies to:

[532484] \begin{bmatrix}-5&-3\\2&-4\\-8&4\end{bmatrix}

Next, we multiply this matrix by 7:

7[532484]=[352114285628] 7*\begin{bmatrix}-5&-3\\2&-4\\-8&4\end{bmatrix} = \begin{bmatrix}-35&-21\\14&-28\\-56&28\end{bmatrix}

So, 7([108435][436051])=[352114285628]7\left(\begin{bmatrix}-1&0\\8&-4\\-3&5\end{bmatrix}-\begin{bmatrix}4&3\\6&0\\5&1\end{bmatrix}\right) = \begin{bmatrix}-35&-21\\14&-28\\-56&28\end{bmatrix}.

This problem has been solved

Solution 2

First, we need to subtract the two matrices:

[108435][436051]=[140386403551] \begin{bmatrix}-1&0\\8&-4\\-3&5\end{bmatrix}-\begin{bmatrix}4&3\\6&0\\5&1\end{bmatrix} = \begin{bmatrix}-1-4&0-3\\8-6&-4-0\\-3-5&5-1\end{bmatrix}

This simplifies to:

[532484] \begin{bmatrix}-5&-3\\2&-4\\-8&4\end{bmatrix}

Next, we multiply this matrix by 7:

7[532484]=[757372747874] 7*\begin{bmatrix}-5&-3\\2&-4\\-8&4\end{bmatrix} = \begin{bmatrix}7*-5&7*-3\\7*2&7*-4\\7*-8&7*4\end{bmatrix}

This simplifies to:

[352114285628] \begin{bmatrix}-35&-21\\14&-28\\-56&28\end{bmatrix}

So, $

This problem has been solved

Similar Questions

Perform the indicated operations.$7\left(\begin{bmatrix}-1&0\\8&-4\\-3&5\end{bmatrix}-\begin{bmatrix}4&3\\6&0\\5&1\end{bmatrix}\right)=$7([−1 08 −4−3 5]−[4 36 05 1])=​

Evaluate the determinant of the matrix.$\begin{vmatrix}2&-1&3\\5&0&7\\0&-6&-4\end{vmatrix}=$|2 −1 35 0 70 −6 −4|=​

Perform the indicated operations.$-2\left(\begin{bmatrix}3&-6\\5&-7\\12&8\end{bmatrix}+\begin{bmatrix}6&9\\-8&1\\10&-3\end{bmatrix}\right)=$−2([3 −65 −712 8]+[6 9−8 110 −3])=​

A=1/15(3 -13 8, 12 -7 2, -12 17 -7), B=(1 3 2, 4 5 6, 8 7 9), Multiply matrix A with B and also B with A

Perform the indicated operations.$\begin{bmatrix}-7&8&11\\12&-5&16\end{bmatrix}-3\begin{bmatrix}-4&4&6\\5&-2&7\end{bmatrix}=$[−7 8 1112 −5 16]−3[−4 4 65 −2 7]=​

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.