Matrices - Subtract with Two Scalars (Level 1)

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

$A LaTex expression showing M = \left[ {\begin{array} {cc} 9 & 6 & 3 \\ 4 & 1 & 0 \end{array} } \right]\\Y = \left[ {\begin{array} {cc} 5 & 0 & 5 \\ 0 & 1 & 7 \end{array} } \right]$

Find the resulting matrix for rM - cY when r = 3 and c = 2

a $A LaTex expression showing \left[ {\begin{array} {cc} 2 & 3 & 6 \\ 9 & 7 & 6 \end{array} } \right]$

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

c $A LaTex expression showing \left[ {\begin{array} {cc} 17 & 18 & -1 \\ 12 & 1 & -14 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cc} 27 & 18 & 9 & -10 & 0 & -10 \\ 12 & 3 & 0 & 0 & -2 & -14 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cccc} 27 & 18 & 9 \\ 12 & 3 & 0 \\ -10 & 0 & -10 \\ 0 & -2 & -14 \end{array} } \right]$

Find the resulting matrix for zB - nY when z = 4 and n = 3

$A LaTex expression showing B = \left[ {\begin{array} {cc} 8 \\ 9 \end{array} } \right] \;\; Y = \left[ {\begin{array} {cc} 1 \\ 4 \end{array} } \right]$

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

c $A LaTex expression showing \left[ {\begin{array} {cc} 29 \\ 24 \end{array} } \right]$

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

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

Find the resulting matrix for yB - mP when y = 3 and m = 2

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

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

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

Find the resulting matrix for dB - mP when d = 4 and m = 3

$A LaTex expression showing B = \left[ {\begin{array} {cc} 0 \\ 4 \end{array} } \right] \;\; P = \left[ {\begin{array} {cc} 7 \\ 5 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} -19 \\ 1 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} -21 \\ 1 \end{array} } \right]$

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

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

e $A LaTex expression showing \left[ {\begin{array} {cc} 4 \\ 8 \end{array} } \right]$

Find the resulting matrix for mB - yN when m = 4 and y = 2

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

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

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

Find the resulting matrix for xN - zB when x = 3 and z = 3

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

a $A LaTex expression showing \left[ {\begin{array} {ccc} -15 & 21 & -12 \\ 21 & -18 & 3 \\ -15 & -6 & 6 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 12 & 24 & 6 & -27 & -3 & -18 \\ 24 & 6 & 12 & -3 & -24 & -9 \\ 0 & 21 & 6 & -15 & -27 & 0 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {ccc} 9 & 7 & 1 \\ 1 & 9 & 2 \\ 4 & 9 & 8 \end{array} } \right]$

Find the resulting matrix for zY - cD when z = 2 and c = 4

$A LaTex expression showing Y = \left[ {\begin{array} {ccc} 5 & 3 \\ 3 & 2 \\ 0 & 1 \end{array} } \right] \;\; D = \left[ {\begin{array} {ccc} 7 & 3 \\ 5 & 1 \\ 2 & 5 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {ccc} 5 & 1 \\ 9 & 9 \\ 0 & 3 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 10 & 6 & -28 & -12 \\ 6 & 4 & -20 & -4 \\ 0 & 2 & -8 & -20 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 0 & 8 \\ 3 & 1 \\ 0 & 0 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {ccc} -18 & -8 \\ -14 & 0 \\ -8 & -21 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} -18 & -6 \\ -14 & 0 \\ -8 & -18 \end{array} } \right]$

Matrices - Subtract with Two Scalars Worksheet