Adding & Subtracting Matrices 1
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Question 1 of 4
1. Question
Solve`[[4],[-3],[5]]+[[2],[1],[0]]`Hint
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Well Done!
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Two matrices can be added only if their dimensions (`mtimesn`) are equal.First, check the dimensions of each matrixMatrix `1`:`[[4],[-3],[5]]`rows`(m)=3`columns`(n)=1`Dimension`(mtimesn)=``3xx1`Matrix `2`:`[[2],[1],[0]]`rows`(m)=3`columns`(n)=1`Dimension`(mtimesn)=``3xx1`Since their dimensions are equal, these two matrices can be addedNext, add the matrices by simply adding each matching elements`[[4],[-3],[5]]+[[2],[1],[0]]` `=` `[[ 4+2],[-3+1],[ 5+0]]` `=` `[[6],[-2],[5]]` `[[6],[-2],[5]]` -
Question 2 of 4
2. Question
Solve for `x+y` given that:`x=[[4,2],[3,5]]` `y=[[4,-2],[-2,1]]` `z=[[-5,6],[-1,-2]]`Hint
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Nice Job!
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Two matrices can be added only if their dimensions (`mtimesn`) are equal.First, check the dimensions of each matrixMatrix `x`:`x=[[4,2],[3,5]]`rows`(m)=2`columns`(n)=2`Dimension`(mtimesn)=``2xx2`Matrix `y`:`y=[[4,-2],[-2,1]]`rows`(m)=2`columns`(n)=2`Dimension`(mtimesn)=``2xx2`Since their dimensions are equal, these two matrices can be addedNext, add the matrices by simply adding each matching elements`x+y` `=` `[[4,2],[3,5]]+[[4,-2],[-2,1]]` `=` `[[4+4,2+(-2)],[3+(-2),5+1]]` `=` `[[8,0],[1,6]]` `[[8,0],[1,6]]` -
Question 3 of 4
3. Question
Solve for `x+y+z` given that:`x=[[4,2],[3,5]]` `y=[[4,-2],[-2,1]]` `z=[[-5,6],[-1,-2]]`Hint
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Excellent!
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Matrices can be added only if their dimensions (`mtimesn`) are equal.First, check the dimensions of each matrixMatrix `x`:`x=[[4,2],[3,5]]`rows`(m)=2`columns`(n)=2`Dimension`(mtimesn)=``2xx2`Matrix `y`:`y=[[4,-2],[-2,1]]`rows`(m)=2`columns`(n)=2`Dimension`(mtimesn)=``2xx2`Matrix `z`:`z=[[-5,6],[-1,-2]]`rows`(m)=2`columns`(n)=2`Dimension`(mtimesn)=``2xx2`Since their dimensions are equal, these two matrices can be addedNext, add the matrices by simply adding each matching elements`x+y+z` `=` `[[4,2],[3,5]]+[[4,-2],[-2,1]]+[[-5,6],[-1,-2]]` `=` `[[4+4+(-5),2+(-2)+6],[3+(-2)+(-1),5+1+(-2)]]` `=` `[[3,6],[0,4]]` `[[3,6],[0,4]]` -
Question 4 of 4
4. Question
Solve for `x+y` given that:`x=[[2,3,4],[4,5,1]]` `y=[[3,2,4],[0,4,6]]` `z=[[4,2],[5,9]]`Hint
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Fantastic!
Incorrect
Two matrices can be added only if their dimensions (`mtimesn`) are equal.First, check the dimensions of each matrixMatrix `x`:`x=[[2,3,4],[4,5,1]]`rows`(m)=2`columns`(n)=3`Dimension`(mtimesn)=``2xx3`Matrix `y`:`y=[[3,2,4],[0,4,6]]`rows`(m)=2`columns`(n)=3`Dimension`(mtimesn)=``2xx3`Since their dimensions are equal, these two matrices can be addedNext, add the matrices by simply adding each matching elements`x+y` `=` `[[2,3,4],[4,5,1]]+[[3,2,4],[0,4,6]]` `=` `[[2+3,3+2,4+4],[4+0,5+4,1+6]]` `=` `[[5,5,8],[4,9,7]]` `[[5,5,8],[4,9,7]]`
Quizzes
- Adding & Subtracting Matrices 1
- Adding & Subtracting Matrices 2
- Adding & Subtracting Matrices 3
- Multiplying Matrices 1
- Multiplying Matrices 2
- Multiplication Word Problems
- Determinant of a Matrix
- Inverse of a Matrix
- Solving Systems of Equations 1
- Solving Systems of Equations 2
- Gauss Jordan Elimination
- Cramer’s Rule