Matrices - Subtract with One Scalar (Level 1)

Math worksheet on 'Matrices - Subtract 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 X - bM when b = 2

$A LaTex expression showing X = \left[ {\begin{array} {ccc} 2 & 5 & 6 \\ 4 & 2 & 2 \\ 3 & 7 & 3 \end{array} } \right]\\M = \left[ {\begin{array} {ccc} 2 & 3 & 2 \\ 2 & 2 & 6 \\ 6 & 2 & 2 \end{array} } \right]$

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

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

c $A LaTex expression showing \left[ {\begin{array} {ccc} -2 & -1 & 2 \\ 0 & -2 & -10 \\ -9 & 0 & -1 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {ccc} -2 & -1 & 2 \\ 0 & -2 & -10 \\ -9 & 3 & -1 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {ccc} 2 & 5 & 6 & -4 & -6 & -4 \\ 4 & 2 & 2 & -4 & -4 & -12 \\ 3 & 7 & 3 & -12 & -4 & -4 \end{array} } \right]$

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

Find the resulting matrix for zM - R when z = 4

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

Find the resulting matrix for dR - X when d = 2

$A LaTex expression showing R = \left[ {\begin{array} {c} 2 & 7 & 9 \end{array} } \right]\\X = \left[ {\begin{array} {c} 3 & 8 & 7 \end{array} } \right]$

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

b $A LaTex expression showing \left[ {\begin{array} {c} 1 & 6 & 11 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 14 & 18 \\ -3 & -8 & -7 \end{array} } \right]$

Find the resulting matrix for X - rB when r = 2

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

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

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

Find the resulting matrix for yZ - C when y = 2

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

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

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

Find the resulting matrix for M - cR when c = 4

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

a $A LaTex expression showing \left[ {\begin{array} {ccc} 1 & -13 & -28 \\ -1 & -5 & -23 \\ -2 & -2 & -31 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {ccc} 1 & -13 & -28 \\ -3 & -5 & -23 \\ -2 & -1 & -31 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {ccc} 5 & 8 & 6 \\ 0 & 9 & 9 \\ 2 & 9 & 4 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cccccc} 5 & 7 & 4 \\ 9 & 3 & 1 \\ 2 & 7 & 5 \\ -4 & -20 & -32 \\ -12 & -8 & -24 \\ -4 & -8 & -36 \end{array} } \right]$

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

Find the resulting matrix for Y - rN when r = 4

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

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

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

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

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

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

Practice:

Subtract with One Scalar

Matrices - Subtract with One Scalar Worksheet