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Question 1 of 4
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Two matrices can be added only if their dimensions (m×n) are equal.
First, check the dimensions of each matrix
[4-35]
rows(m)=3
columns(n)=1
[210]
rows(m)=3
columns(n)=1
Since their dimensions are equal, these two matrices can be added
Next, add the matrices by simply adding each matching elements
|
[4-35]+[210] |
|
= |
[ 4+2-3+1 5+0] |
|
= |
[6-25] |
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Question 2 of 4
Solve for x+y given that:
x=[4235] y=[4-2-21] z=[-56-1-2]
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Two matrices can be added 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
Since their dimensions are equal, these two matrices can be added
Next, add the matrices by simply adding each matching elements
x+y |
= |
[4235]+[4-2-21] |
|
|
= |
[4+42+(-2)3+(-2)5+1] |
|
|
= |
[8016] |
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Question 3 of 4
Solve for x+y+z given that:
x=[4235] y=[4-2-21] z=[-56-1-2]
Incorrect
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0:00
Matrices can be added 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
Next, add the matrices by simply adding each matching elements
x+y+z |
= |
[4235]+[4-2-21]+[-56-1-2] |
|
|
= |
[4+4+(-5)2+(-2)+63+(-2)+(-1)5+1+(-2)] |
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|
= |
[3604] |
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Question 4 of 4
Solve for x+y given that:
x=[234451] y=[324046] z=[4259]
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Two matrices can be added only if their dimensions (m×n) are equal.
First, check the dimensions of each matrix
x=[234451]
rows(m)=2
columns(n)=3
y=[324046]
rows(m)=2
columns(n)=3
Since their dimensions are equal, these two matrices can be added
Next, add the matrices by simply adding each matching elements
x+y |
= |
[234451]+[324046] |
|
|
= |
[2+33+24+44+05+41+6] |
|
|
= |
[558497] |