Matrices - Add with Two Scalars (Level 1)

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

Find the resulting matrix for bZ + yX when b = 3 and y = 2

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

a $A LaTex expression showing \left[ {\begin{array} {cccc} 24 & 0 & 12 \\ 21 & 12 & 0 \\ 0 & 14 & 10 \\ 12 & 6 & 10 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 27 & 14 & 23 \\ 33 & 16 & 10 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 24 & 14 & 22 \\ 33 & 18 & 10 \end{array} } \right]$

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

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

Find the resulting matrix for cP + xY when c = 2 and x = 4

$A LaTex expression showing P = \left[ {\begin{array} {c} 3 & 5 \end{array} } \right]\\Y = \left[ {\begin{array} {c} 6 & 0 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 2 & 3 \end{array} } \right]$

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

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

d $A LaTex expression showing \left[ {\begin{array} {c} 30 & 10 \end{array} } \right]$

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

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

Find the resulting matrix for yZ + nC when y = 4 and n = 4

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

Find the resulting matrix for bR + zY when b = 3 and z = 3

$A LaTex expression showing R = \left[ {\begin{array} {c} 7 & 5 & 3 \end{array} } \right]\\Y = \left[ {\begin{array} {c} 3 & 0 & 2 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 30 & 15 & 15 \end{array} } \right]$

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

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

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

Find the resulting matrix for dP + rC when d = 2 and r = 3

$A LaTex expression showing P = \left[ {\begin{array} {c} 6 & 2 & 6 \end{array} } \right]\\C = \left[ {\begin{array} {c} 9 & 0 & 9 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {c} 39 & 4 & 39 \end{array} } \right]$

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

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

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

e $A LaTex expression showing \left[ {\begin{array} {cc} 12 & 4 & 12 \\ 27 & 0 & 27 \end{array} } \right]$

Find the resulting matrix for mC + xB when m = 4 and x = 4

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

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

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

c $A LaTex expression showing \left[ {\begin{array} {c} 40 & 24 & 32 \end{array} } \right]$

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

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

Find the resulting matrix for dR + zB when d = 2 and z = 4

$A LaTex expression showing R = \left[ {\begin{array} {cc} 3 & 7 \\ 2 & 2 \end{array} } \right]\\B = \left[ {\begin{array} {cc} 6 & 2 \\ 8 & 8 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 30 & 22 \\ 36 & 36 \end{array} } \right]$

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

c $A LaTex expression showing \left[ {\begin{array} {cc} 6 & 14 & 24 & 8 \\ 4 & 4 & 32 & 32 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cc} 32 & 23 \\ 36 & 36 \end{array} } \right]$

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

Practice:

Add with Two Scalars

Matrices - Add with Two Scalars Worksheet