Subtract (Level 1)

This math topic focuses on subtracting matrices across various problem scenarios. The exercises are structured to test and enhance the students' ability to perform matrix subtraction and correctly identify the resultant matrices from a set of multiple-choice answers. The problems vary in difficulty and matrix dimensions, addressing different cases and challenging the students' understanding of matrix arithmetic principles.

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Subtract

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Find the resulting matrix for M - D

M=[91]    D=[91]M = \left[ {\begin{array} {cc} 9 \\ 1 \end{array} } \right] \;\; D = \left[ {\begin{array} {cc} 9 \\ 1 \end{array} } \right]

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Matrices - Subtract Worksheet

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Math worksheet on 'Matrices - Subtract (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/
1
Find the resulting matrix for Z - X
A LaTex expression showing Z = \left[ {\begin{array} {cc} 2 & 2 \\ 6 & 6 \end{array} } \right]\\X = \left[ {\begin{array} {cc} 1 & 5 \\ 8 & 0 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 7 & 1 \\ 3 & 3 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 1 & -3 \\ -2 & 6 \end{array} } \right]
c A LaTex expression showing undefined
d A LaTex expression showing \left[ {\begin{array} {cc} 1 & -2 \\ -2 & 6 \end{array} } \right]
2
Find the resulting matrix for Y - D
A LaTex expression showing Y = \left[ {\begin{array} {c} 8 & 9 \end{array} } \right]\\D = \left[ {\begin{array} {c} 8 & 9 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {c} 0 & 0 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {c} 8 & 9 & -8 & -9 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 1 & 1 \\ 1 & 1 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {c} 0 & -2 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {c} 7 & 3 \end{array} } \right]
3
Find the resulting matrix for B - D
A LaTex expression showing B = \left[ {\begin{array} {c} 1 \end{array} } \right]\\D = \left[ {\begin{array} {c} 4 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {c} 1 & -4 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {c} -3 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {c} 1 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {c} 8 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 1 & 1 \\ 1 & 1 \end{array} } \right]
4
A LaTex expression showing Y = \left[ {\begin{array} {ccc} 3 & 5 & 8 \\ 8 & 5 & 9 \\ 0 & 9 & 5 \end{array} } \right]\\D = \left[ {\begin{array} {ccc} 2 & 1 & 8 \\ 3 & 9 & 3 \\ 8 & 5 & 1 \end{array} } \right]
Find the resulting matrix for Y - D
a A LaTex expression showing \left[ {\begin{array} {ccc} 3 & 4 & 6 \\ 6 & 9 & 3 \\ 6 & 8 & 5 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {ccc} 1 & 4 & 0 \\ 5 & -4 & 6 \\ -8 & 4 & 4 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 7 & 9 \\ 8 & 0 & 5 \\ 6 & 8 & 5 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {ccc} 1 & 4 & 0 \\ 5 & -3 & 6 \\ -8 & 4 & 4 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {ccc} 1 & 4 & 0 \\ 5 & -4 & 7 \\ -8 & 4 & 4 \end{array} } \right]
5
Find the resulting matrix for P - C
A LaTex expression showing P = \left[ {\begin{array} {c} 0 & 7 & 9 \end{array} } \right]\\C = \left[ {\begin{array} {c} 2 & 4 & 6 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {c} 7 & 3 & 7 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {c} 4 & 7 & 0 \end{array} } \right]
c A LaTex expression showing undefined
d A LaTex expression showing \left[ {\begin{array} {c} 9 & 8 & 8 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {c} -2 & 3 & 3 \end{array} } \right]
6
Find the resulting matrix for M - R
A LaTex expression showing M = \left[ {\begin{array} {ccc} 0 & 5 & 4 \\ 0 & 0 & 0 \\ 0 & 9 & 6 \end{array} } \right]\\R = \left[ {\begin{array} {} \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {ccc} 5 & 6 & 9 \\ 1 & 3 & 3 \\ 5 & 7 & 7 \end{array} } \right]
b A LaTex expression showing undefined
c A LaTex expression showing \left[ {\begin{array} {} \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 1 & 1 \\ 1 & 1 \end{array} } \right]
7
Find the resulting matrix for Z - X
A LaTex expression showing Z = \left[ {\begin{array} {c} 5 & 4 \end{array} } \right]\\X = \left[ {\begin{array} {c} 2 & 5 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {c} 4 & 2 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 5 & 4 \\ -2 & -5 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {c} 6 & 9 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {c} 3 & -1 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {c} 2 & 9 \end{array} } \right]