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 dM when d = 4

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

a $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 14 \\ 34 & 12 \\ 24 & 32 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 3 \\ 1 & 9 \\ 1 & 5 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 5 \\ 2 & 3 \\ 4 & 9 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {ccc} 1 & 9 \\ 7 & 3 \\ 8 & 7 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 12 \\ 36 & 12 \\ 24 & 32 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 11 \\ 36 & 12 \\ 24 & 32 \end{array} } \right]$

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

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

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

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

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

$A LaTex expression showing X = \left[ {\begin{array} {cccc} 2 & 5 & 1 \\ 3 & 7 & 6 \\ 7 & 4 & 8 \\ 4 & 9 & 0 \end{array} } \right]$

Find the resulting matrix for yX when y = 4

a $A LaTex expression showing \left[ {\begin{array} {cccc} 8 & 20 & 4 \\ 13 & 28 & 24 \\ 25 & 18 & 32 \\ 16 & 36 & 0 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cccc} 8 & 20 & 4 \\ 9 & 27 & 24 \\ 27 & 16 & 32 \\ 16 & 36 & 0 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cccc} 5 & 20 & 4 \\ 9 & 28 & 24 \\ 28 & 16 & 29 \\ 16 & 36 & 0 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cccc} 8 & 20 & 4 \\ 12 & 28 & 24 \\ 28 & 16 & 32 \\ 16 & 36 & 0 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cccc} 8 & 20 & 6 \\ 12 & 29 & 24 \\ 28 & 16 & 32 \\ 14 & 36 & 0 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cccc} 11 & 17 & 1 \\ 12 & 28 & 24 \\ 28 & 16 & 32 \\ 16 & 36 & 0 \end{array} } \right]$

Find the resulting matrix for zR when z = 3

$A LaTex expression showing R = \left[ {\begin{array} {ccc} 3 & 7 \\ 9 & 9 \\ 2 & 3 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {ccc} 9 & 21 \\ 27 & 25 \\ 6 & 9 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 6 & 1 \\ 2 & 6 \\ 3 & 3 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 7 & 21 \\ 27 & 27 \\ 3 & 9 \end{array} } \right]$

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

e $A LaTex expression showing \left[ {\begin{array} {ccc} 7 & 7 \\ 9 & 3 \\ 1 & 8 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {ccc} 9 & 21 \\ 27 & 27 \\ 6 & 9 \end{array} } \right]$

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

Find the resulting matrix for bR when b = 3

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

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

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

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

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

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

Find the resulting matrix for pC when p = 4

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

Practice:

Multiply by Scalar

Matrices - Multiply by Scalar Worksheet