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

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

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

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

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

Find the resulting matrix for nX + cY when n = 3 and c = 4

$A LaTex expression showing X = \left[ {\begin{array} {cc} 3 \\ 9 \end{array} } \right] \;\; Y = \left[ {\begin{array} {cc} 9 \\ 8 \end{array} } \right]$

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

b $A LaTex expression showing \left[ {\begin{array} {cc} 47 \\ 59 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cccc} 9 \\ 27 \\ 36 \\ 32 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cc} 45 \\ 59 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 45 \\ 62 \end{array} } \right]$

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

Find the resulting matrix for cZ + yD when c = 3 and y = 3

a $A LaTex expression showing \left[ {\begin{array} {ccc} 36 & 21 & 33 \\ 30 & 18 & 33 \\ 36 & 18 & 48 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 7 & 2 & 5 \\ 1 & 5 & 9 \\ 6 & 9 & 3 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {cccccc} 24 & 15 & 27 \\ 24 & 9 & 18 \\ 21 & 3 & 24 \\ 12 & 6 & 6 \\ 6 & 9 & 15 \\ 15 & 15 & 24 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 5 & 7 \\ 3 & 4 & 6 \\ 1 & 2 & 5 \end{array} } \right]$

Find the resulting matrix for zY + rN when z = 2 and r = 4

$A LaTex expression showing Y = \left[ {\begin{array} {ccc} 1 & 8 \\ 6 & 7 \\ 1 & 7 \end{array} } \right] \;\; N = \left[ {\begin{array} {ccc} 8 & 0 \\ 6 & 2 \\ 8 & 3 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {ccc} 3 & 1 \\ 2 & 4 \\ 6 & 7 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 34 & 16 \\ 36 & 25 \\ 35 & 23 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 2 & 8 \\ 9 & 0 \\ 7 & 1 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {ccc} 34 & 16 \\ 36 & 22 \\ 34 & 26 \end{array} } \right]$

Find the resulting matrix for rX + nD when r = 3 and n = 3

$A LaTex expression showing X = \left[ {\begin{array} {cc} 8 \\ 0 \end{array} } \right] \;\; D = \left[ {\begin{array} {cc} 1 \\ 6 \end{array} } \right]$

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

b $A LaTex expression showing \left[ {\begin{array} {cc} 27 \\ 18 \end{array} } \right]$

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

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

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

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

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

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

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

Find the resulting matrix for nR + xZ when n = 4 and x = 2

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

a $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 1 \\ 0 & 8 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 22 & 30 \\ 50 & 12 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 22 & 32 \\ 50 & 12 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cc} 22 & 32 \\ 51 & 13 \end{array} } \right]$

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

Matrices - Add with Two Scalars Worksheet