Matrices - Multiply (Level 1)

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

Find the resulting matrix for M x Z

$A LaTex expression showing M = \left[ {\begin{array} {ccc} 6 & 5 & 0 \\ 6 & 7 & 3 \\ 5 & 9 & 1 \end{array} } \right]\\Z = \left[ {\begin{array} {ccc} 6 & 8 & 7 \\ 3 & 8 & 4 \\ 1 & 5 & 7 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {ccc} 1 & 0 & 6 \\ 0 & 5 & 3 \\ 7 & 5 & 6 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 0 & 8 \\ 0 & 9 & 9 \\ 7 & 5 & 3 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 5 & 0 & 6 & 8 & 7 \\ 6 & 7 & 3 & 3 & 8 & 4 \\ 5 & 9 & 1 & 1 & 5 & 7 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 51 & 88 & 62 \\ 60 & 119 & 91 \\ 58 & 117 & 78 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 1 & 7 \\ 1 & 2 & 3 \\ 1 & 7 & 1 \end{array} } \right]$

Find the resulting matrix for D x Y

$A LaTex expression showing D = \left[ {\begin{array} {c} 3 \end{array} } \right]\\Y = \left[ {\begin{array} {c} 4 & 8 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 12 & 24 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {c} 3 & 4 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {c} 7 & 3 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {c} 4 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {c} 4 & 4 \end{array} } \right]$

Find the resulting matrix for P x D

$A LaTex expression showing P = \left[ {\begin{array} {cc} 4 & 2 & 8 \\ 0 & 3 & 6 \end{array} } \right]\\D = \left[ {\begin{array} {ccc} 7 & 2 & 1 \\ 6 & 8 & 2 \\ 4 & 9 & 4 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 1 & 9 & 8 \\ 7 & 5 & 9 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 72 & 96 & 40 \\ 42 & 78 & 30 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 4 & 2 \\ 0 & 9 & 3 \\ 7 & 0 & 4 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 2 & 8 & 7 & 2 & 1 \\ 0 & 3 & 6 & 6 & 8 & 2 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 74 & 96 & 40 \\ 42 & 78 & 27 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 7 & 4 & 5 \\ 6 & 9 & 3 \end{array} } \right]$

Find the resulting matrix for X x Y

$A LaTex expression showing X = \left[ {\begin{array} {cc} 8 & 8 & 8 \\ 2 & 1 & 1 \end{array} } \right]\\Y = \left[ {\begin{array} {ccc} 9 & 6 \\ 0 & 9 \\ 4 & 9 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 104 & 192 \\ 22 & 30 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 8 & 8 & 8 & 9 & 6 & 0 \\ 2 & 1 & 1 & 0 & 9 & 0 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {ccc} 5 & 8 & 6 \\ 8 & 7 & 5 \\ 2 & 3 & 3 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 8 & 6 \\ 5 & 5 & 0 \\ 1 & 3 & 4 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 5 & 0 \\ 9 & 2 & 1 \\ 2 & 2 & 1 \end{array} } \right]$

Find the resulting matrix for B x M

$A LaTex expression showing B = \left[ {\begin{array} {cc} 6 \\ 2 \end{array} } \right] \;\; M = \left[ {\begin{array} {c} 3 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 18 \\ 5 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {cc} 5 \\ 0 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 18 \\ 6 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {c} 6 \end{array} } \right]$

Find the resulting matrix for M x C

$A LaTex expression showing M = \left[ {\begin{array} {cc} 5 \\ 5 \end{array} } \right] \;\; C = \left[ {\begin{array} {c} 0 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 1 \end{array} } \right]$

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

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

d $A LaTex expression showing \left[ {\begin{array} {cccc} 5 \\ 5 \\ 0 \\ 0 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 0 \\ 5 & 0 \end{array} } \right]$

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

Find the resulting matrix for D x Y

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

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

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

Practice:

Multiply

Matrices - Multiply Worksheet