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Question 1 of 4
Incorrect
Two matrices can be subtracted only if their dimensions (m×n) are equal.
First, check the dimensions of each matrix
[121337]
rows(m)=2
columns(n)=2
[4−23122]
rows(m)=2
columns(n)=2
Since their dimensions are equal, these two matrices can be subtracted
Next, subtract the matrices by simply subtracting each matching elements
|
[121337]−[4−23122] |
|
= |
[12−413−(−23)3−127−2] |
|
= |
[−721525] |
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Question 2 of 4
Solve
[0.40.91.5-3.2]-[0.6-0.8-11.7]
Incorrect
Two matrices can be subtracted only if their dimensions (m×n) are equal.
First, check the dimensions of each matrix
[0.40.91.5-3.2]
rows(m)=2
columns(n)=2
[0.6-0.8-11.7]
rows(m)=2
columns(n)=2
Since their dimensions are equal, these two matrices can be subtracted
Next, subtract the matrices by simply subtracting each matching elements
|
[0.40.91.5-3.2]-[0.6-0.8-11.7] |
|
= |
[0.4-0.60.9-(-0.8)1.5-(-1)-3.2-1.7] |
|
= |
[-0.21.72.5-4.9] |
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Question 3 of 4
Solve
[25-736-1]-[-1-3924-5]
Incorrect
Two matrices can be subtracted only if their dimensions (m×n) are equal.
First, check the dimensions of each matrix
[25-736-1]
rows(m)=2
columns(n)=3
[-1-3924-5]
rows(m)=2
columns(n)=3
Since their dimensions are equal, these two matrices can be subtracted
Next, subtract the matrices by simply subtracting each matching elements
|
[25-736-1]-[-1-3924-5] |
|
= |
[2-(-1)5-(-3)-7-93-26-4-1-(-5)] |
|
= |
[38-16124] |
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Question 4 of 4
Solve for z+y-x given that:
x=[4235] y=[4-2-21] z=[-56-1-2]
Incorrect
Matrices can be added or subtracted only if their dimensions (m×n) are equal.
First, check the dimensions of each matrix
x=[4235]
rows(m)=2
columns(n)=2
y=[4-2-21]
rows(m)=2
columns(n)=2
z=[-56-1-2]
rows(m)=2
columns(n)=2
Since their dimensions are equal, these two matrices can be added and subtracted
Next, add the matrices by simply adding and then subtracting each matching elements
z+y-x |
= |
[-56-1-2]+[4-2-21]-[4235] |
|
|
= |
[-5+4-46+(-2)-2-1+(-2)-3-2+1-5] |
|
|
= |
[-52-6-6] |