Matrices - Multiply (Level 1) - Mobius Math Academy

Math worksheet on 'Matrices - Multiply (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/

$A LaTex expression showing X = \left[ {\begin{array} {ccc} 1 & 1 & 4 \\ 2 & 1 & 1 \\ 0 & 4 & 2 \end{array} } \right]\\Y = \left[ {\begin{array} {} \end{array} } \right]$

Find the resulting matrix for X x Y

b $A LaTex expression showing \left[ {\begin{array} {cccccc} 1 & 1 & 4 \\ 2 & 1 & 1 \\ 0 & 4 & 2 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array} } \right]$

Find the resulting matrix for D x Y

$A LaTex expression showing D = \left[ {\begin{array} {cc} 4 & 6 \\ 8 & 7 \end{array} } \right]\\Y = \left[ {\begin{array} {} \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cccc} 4 & 6 \\ 8 & 7 \\ 0 & 0 \\ 0 & 0 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 6 & 0 & 0 \\ 8 & 7 & 0 & 0 \end{array} } \right]$

Find the resulting matrix for D x X

$A LaTex expression showing D = \left[ {\begin{array} {ccc} 4 & 2 & 2 \\ 9 & 8 & 8 \\ 4 & 0 & 0 \end{array} } \right]\\X = \left[ {\begin{array} {} \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cccccc} 4 & 2 & 2 \\ 9 & 8 & 8 \\ 4 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 4 & 2 & 2 & 0 & 0 & 0 \\ 9 & 8 & 8 & 0 & 0 & 0 \\ 4 & 0 & 0 & 0 & 0 & 0 \end{array} } \right]$

Find the resulting matrix for X x C

$A LaTex expression showing X = \left[ {\begin{array} {ccc} 8 & 4 & 0 \\ 6 & 7 & 6 \\ 3 & 3 & 9 \end{array} } \right]\\C = \left[ {\begin{array} {} \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cccccc} 8 & 4 & 0 \\ 6 & 7 & 6 \\ 3 & 3 & 9 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 8 & 4 & 0 & 0 & 0 & 0 \\ 6 & 7 & 6 & 0 & 0 & 0 \\ 3 & 3 & 9 & 0 & 0 & 0 \end{array} } \right]$

Find the resulting matrix for X x P

$A LaTex expression showing X = \left[ {\begin{array} {cc} 0 \\ 7 \end{array} } \right] \;\; P = \left[ {\begin{array} {c} 9 & 6 & 8 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 1 & 8 & 3 \\ 9 & 9 & 3 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 0 & 9 \\ 7 & 0 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 3 & 2 & 9 \\ 2 & 1 & 7 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {c} 5 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 0 & 0 & 0 \\ 63 & 42 & 56 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 7 & 2 \\ 5 & 6 & 2 \end{array} } \right]$

$A LaTex expression showing P = \left[ {\begin{array} {} \end{array} } \right]\\M = \left[ {\begin{array} {cc} 1 & 6 & 0 \\ 0 & 3 & 3 \end{array} } \right]$

Find the resulting matrix for P x M

a $A LaTex expression showing \left[ {\begin{array} {} \end{array} } \right]$

Find the resulting matrix for X x P

$A LaTex expression showing X = \left[ {\begin{array} {c} 9 & 2 \end{array} } \right]\\P = \left[ {\begin{array} {cc} 6 & 9 & 2 \\ 9 & 3 & 4 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 9 & 2 \\ 6 & 9 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {c} 8 & 3 & 5 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {c} 72 & 87 & 26 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {c} 9 & 2 & 6 & 9 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 1 \\ 3 & 5 \end{array} } \right]$

Matrices - Multiply Worksheet