Matrices - Add with One Scalar (Level 1)

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

Find the resulting matrix for pY + X when p = 2

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

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

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

Find the resulting matrix for zY + C when z = 4

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

a $A LaTex expression showing \left[ {\begin{array} {cc} 14 & 14 & 37 \\ 29 & 24 & 1 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 8 & 12 & 28 & 6 & 2 & 9 \\ 28 & 16 & 0 & 1 & 8 & 1 \end{array} } \right]$

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

Find the resulting matrix for pD + C when p = 3

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

a $A LaTex expression showing \left[ {\begin{array} {ccc} 16 & 8 & 15 \\ 29 & 33 & 11 \\ 20 & 16 & 16 \end{array} } \right]$

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

c $A LaTex expression showing \left[ {\begin{array} {cccccc} 9 & 0 & 9 \\ 24 & 24 & 3 \\ 12 & 15 & 15 \\ 7 & 9 & 6 \\ 5 & 9 & 8 \\ 8 & 1 & 1 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 16 & 9 & 15 \\ 29 & 33 & 11 \\ 20 & 16 & 16 \end{array} } \right]$

Find the resulting matrix for B + dN when d = 3

$A LaTex expression showing B = \left[ {\begin{array} {ccc} 1 \\ 5 \\ 1 \end{array} } \right] \;\; N = \left[ {\begin{array} {ccc} 8 \\ 3 \\ 7 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {ccc} 1 \\ 1 \\ 2 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 25 \\ 14 \\ 22 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {ccc} 6 \\ 2 \\ 4 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 25 \\ 12 \\ 25 \end{array} } \right]$

Find the resulting matrix for xZ + B when x = 3

$A LaTex expression showing Z = \left[ {\begin{array} {ccc} 5 \\ 8 \\ 2 \end{array} } \right] \;\; B = \left[ {\begin{array} {ccc} 2 \\ 9 \\ 2 \end{array} } \right]$

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

b $A LaTex expression showing \left[ {\begin{array} {ccc} 17 \\ 33 \\ 8 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 17 \\ 33 \\ 10 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {ccc} 2 \\ 4 \\ 0 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 7 \\ 1 \\ 0 \end{array} } \right]$

Find the resulting matrix for rN + M when r = 2

$A LaTex expression showing N = \left[ {\begin{array} {cc} 0 & 7 \\ 3 & 4 \end{array} } \right]\\M = \left[ {\begin{array} {cc} 4 & 2 \\ 9 & 6 \end{array} } \right]$

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

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

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

e $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 16 \\ 15 & 14 \end{array} } \right]$

Find the resulting matrix for C + xP when x = 3

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

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

c $A LaTex expression showing \left[ {\begin{array} {c} 31 & 19 & 22 \end{array} } \right]$

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

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

Practice:

Add with One Scalar

Matrices - Add with One Scalar Worksheet