Matrices - Multiply by Scalar (Level 1)

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

Find the resulting matrix for rC when r = 2

$A LaTex expression showing C = \left[ {\begin{array} {c} 5 & 6 & 6 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 0 & 1 & 0 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {c} 10 & 10 & 12 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {c} 10 & 12 & 14 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {c} 10 & 12 & 12 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {c} 10 & 12 & 11 \end{array} } \right]$

Find the resulting matrix for cB when c = 3

$A LaTex expression showing B = \left[ {\begin{array} {cc} 5 & 1 & 7 \\ 2 & 6 & 0 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 15 & 3 & 21 \\ 6 & 18 & 0 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 6 & 3 & 4 \\ 3 & 6 & 1 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 4 & 1 \\ 6 & 1 & 1 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cc} 18 & 3 & 21 \\ 9 & 18 & 0 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 15 & 3 & 21 \\ 6 & 18 & 1 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 15 & 3 & 18 \\ 6 & 16 & 0 \end{array} } \right]$

Find the resulting matrix for xC when x = 3

$A LaTex expression showing C = \left[ {\begin{array} {cccc} 1 & 3 \\ 7 & 2 \\ 1 & 0 \\ 8 & 2 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cccc} 5 & 5 \\ 2 & 0 \\ 8 & 3 \\ 0 & 9 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cccc} 1 & 1 \\ 2 & 3 \\ 4 & 5 \\ 9 & 8 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cccc} 1 & 1 \\ 8 & 9 \\ 4 & 9 \\ 5 & 6 \end{array} } \right]$

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

f $A LaTex expression showing \left[ {\begin{array} {cccc} 3 & 9 \\ 21 & 6 \\ 3 & 0 \\ 24 & 6 \end{array} } \right]$

Find the resulting matrix for cR when c = 3

$A LaTex expression showing R = \left[ {\begin{array} {cccc} 8 & 2 \\ 8 & 5 \\ 7 & 5 \\ 0 & 0 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cccc} 24 & 6 \\ 24 & 15 \\ 21 & 15 \\ 0 & 3 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cccc} 0 & 8 \\ 4 & 0 \\ 4 & 5 \\ 3 & 4 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cccc} 24 & 6 \\ 24 & 15 \\ 21 & 15 \\ 0 & 0 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cccc} 24 & 6 \\ 21 & 15 \\ 21 & 15 \\ 0 & -2 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cccc} 27 & 6 \\ 24 & 15 \\ 21 & 15 \\ 0 & 0 \end{array} } \right]$

Find the resulting matrix for dN when d = 2

$A LaTex expression showing N = \left[ {\begin{array} {c} 9 & 9 & 3 & 6 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 5 & 2 & 6 & 1 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {c} 18 & 18 & 6 & 12 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {c} 18 & 17 & 6 & 12 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {c} 9 & 2 & 5 & 6 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {c} 18 & 21 & 6 & 12 \end{array} } \right]$

$A LaTex expression showing C = \left[ {\begin{array} {cccc} 8 & 9 & 8 \\ 5 & 5 & 7 \\ 1 & 4 & 7 \\ 6 & 2 & 1 \end{array} } \right]$

Find the resulting matrix for mC when m = 2

a $A LaTex expression showing \left[ {\begin{array} {cccc} 5 & 9 & 2 \\ 1 & 9 & 4 \\ 6 & 2 & 9 \\ 2 & 6 & 0 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cccc} 16 & 18 & 16 \\ 7 & 10 & 14 \\ 2 & 8 & 14 \\ 12 & 4 & 2 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cccc} 5 & 2 & 1 \\ 2 & 6 & 4 \\ 4 & 5 & 0 \\ 7 & 5 & 4 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cccc} 5 & 2 & 7 \\ 1 & 1 & 9 \\ 4 & 7 & 1 \\ 2 & 1 & 2 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cccc} 17 & 18 & 16 \\ 10 & 10 & 16 \\ 2 & 8 & 12 \\ 12 & 4 & 2 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cccc} 16 & 18 & 16 \\ 10 & 10 & 14 \\ 2 & 8 & 14 \\ 12 & 4 & 2 \end{array} } \right]$

Find the resulting matrix for bR when b = 4

$A LaTex expression showing R = \left[ {\begin{array} {c} 3 & 0 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 4 & 6 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {c} 13 & 0 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {c} 12 & 0 \end{array} } \right]$

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

f $A LaTex expression showing \left[ {\begin{array} {c} 4 & 2 \end{array} } \right]$

Matrices - Multiply by Scalar Worksheet