Add (Level 1)

This math topic focuses on practicing matrix addition, where students need to compute the sum of given matrices and select the correct resulting matrix from multiple choices. Each problem presents pairs of matrices and a set of potential results. By solving these problems, students enhance their skills in adding matrices of various sizes, from simple 2x1 to more complex 3x3 matrices. This reinforces understanding of the element-wise addition method required for this aspect of matrix arithmetic.

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Find the resulting matrix for N + B

N=[99]B=[66]N = \left[ {\begin{array} {c} 9 & 9 \end{array} } \right]\\B = \left[ {\begin{array} {c} 6 & 6 \end{array} } \right]

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Matrices - Add Worksheet

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Math worksheet on 'Matrices - Add (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/
1
Find the resulting matrix for P + R
A LaTex expression showing P = \left[ {\begin{array} {ccc} 7 & 3 & 4 \\ 9 & 6 & 9 \\ 7 & 9 & 2 \end{array} } \right]\\R = \left[ {\begin{array} {ccc} 7 & 6 & 8 \\ 1 & 3 & 4 \\ 6 & 5 & 2 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {ccc} 14 & 9 & 12 \\ 10 & 6 & 13 \\ 13 & 14 & 4 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {ccc} 14 & 9 & 12 \\ 10 & 9 & 13 \\ 13 & 14 & 4 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 3 & 3 \\ 1 & 1 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {ccc} 7 & 3 & 4 & 7 & 6 & 8 \\ 9 & 6 & 9 & 1 & 3 & 4 \\ 7 & 9 & 2 & 6 & 5 & 2 \end{array} } \right]
e A LaTex expression showing undefined
2
Find the resulting matrix for R + P
A LaTex expression showing R = \left[ {\begin{array} {cc} 8 & 3 \\ 3 & 1 \end{array} } \right]\\P = \left[ {\begin{array} {cc} 9 & 6 \\ 5 & 8 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 8 & 3 & 9 & 6 \\ 3 & 1 & 5 & 8 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 3 & 3 \\ 2 & 1 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 7 & 5 \\ 2 & 7 \end{array} } \right]
d A LaTex expression showing undefined
e A LaTex expression showing \left[ {\begin{array} {cc} 17 & 9 \\ 8 & 9 \end{array} } \right]
3
A LaTex expression showing D = \left[ {\begin{array} {ccc} 3 & 5 & 9 \\ 1 & 4 & 2 \\ 9 & 0 & 9 \end{array} } \right]\\C = \left[ {\begin{array} {ccc} 0 & 8 & 7 \\ 8 & 9 & 2 \\ 6 & 5 & 3 \end{array} } \right]
Find the resulting matrix for D + C
a A LaTex expression showing \left[ {\begin{array} {ccc} 5 & 3 & 2 \\ 0 & 8 & 0 \\ 5 & 0 & 5 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cccccc} 3 & 5 & 9 \\ 1 & 4 & 2 \\ 9 & 0 & 9 \\ 0 & 8 & 7 \\ 8 & 9 & 2 \\ 6 & 5 & 3 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {ccc} 3 & 13 & 16 \\ 9 & 13 & 4 \\ 15 & 5 & 12 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {ccc} 4 & 3 & 1 \\ 9 & 7 & 5 \\ 0 & 7 & 8 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 5 & 9 \\ 9 & 7 & 0 \\ 3 & 2 & 3 \end{array} } \right]
4
Find the resulting matrix for P + X
A LaTex expression showing P = \left[ {\begin{array} {cc} 1 \\ 7 \end{array} } \right] \;\; X = \left[ {\begin{array} {cc} 5 \\ 8 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 7 \\ 6 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 6 \\ 15 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 3 \\ 12 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 3 & 1 \\ 3 & 3 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cccc} 1 \\ 7 \\ 5 \\ 8 \end{array} } \right]
5
Find the resulting matrix for X + Y
A LaTex expression showing X = \left[ {\begin{array} {ccc} 3 & 7 \\ 5 & 0 \\ 4 & 5 \end{array} } \right] \;\; Y = \left[ {\begin{array} {ccc} 1 & 8 \\ 9 & 3 \\ 9 & 2 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {ccc} 4 & 15 \\ 14 & 3 \\ 12 & 7 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {ccc} 4 & 15 \\ 14 & 6 \\ 13 & 7 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {ccc} 4 & 15 \\ 14 & 3 \\ 13 & 7 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 6 \\ 1 & 4 \\ 6 & 5 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 8 \\ 3 & 9 \\ 1 & 0 \end{array} } \right]
6
Find the resulting matrix for Y + B
A LaTex expression showing Y = \left[ {\begin{array} {ccc} 1 \\ 9 \\ 6 \end{array} } \right] \;\; B = \left[ {\begin{array} {ccc} 8 \\ 9 \\ 6 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {ccc} 0 \\ 3 \\ 2 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 3 & 1 \\ 2 & 1 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {ccc} 9 \\ 18 \\ 12 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {ccc} 6 \\ 7 \\ 1 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cccccc} 1 \\ 9 \\ 6 \\ 8 \\ 9 \\ 6 \end{array} } \right]
7
Find the resulting matrix for X + R
A LaTex expression showing X = \left[ {\begin{array} {} \end{array} } \right]\\R = \left[ {\begin{array} {c} 6 \end{array} } \right]
a A LaTex expression showing undefined
b A LaTex expression showing \left[ {\begin{array} {c} 4 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {} \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {c} 3 \end{array} } \right]