Matrices - Find Minor Matrix from Description (3x3) (Level 1)

Matrices - Find Minor Matrix from Description (3x3)

Find the resulting 2x2 'minor' matrix when row 2 and column 2 are removed

$A LaTex expression showing M sub 22 \;of\;\left[ {\begin{array} {ccc} 4 & 8 & 6 \\ 2 & 7 & 5 \\ 8 & 9 & 1 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 2 & 5 \\ 8 & 1 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 2 & 7 \\ 8 & 9 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 6 \\ 8 & 1 \end{array} } \right]$

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

e $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 8 \\ 8 & 9 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 8 \\ 2 & 7 \end{array} } \right]$

Find the resulting 2x2 'minor' matrix when row 2 and column 1 are removed

$A LaTex expression showing M sub 21 \;of\;\left[ {\begin{array} {ccc} 9 & 0 & 2 \\ 5 & 3 & 9 \\ 2 & 4 & 9 \end{array} } \right]$

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

b $A LaTex expression showing \left[ {\begin{array} {cc} 0 & 2 \\ 4 & 9 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {cc} 9 & 0 \\ 2 & 4 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 9 & 2 \\ 5 & 9 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 9 \\ 2 & 9 \end{array} } \right]$

Find the resulting 2x2 'minor' matrix when row 1 and column 3 are removed

$A LaTex expression showing M sub 13 \;of\;\left[ {\begin{array} {ccc} 3 & 2 & 8 \\ 7 & 3 & 9 \\ 9 & 1 & 7 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 3 & 9 \\ 1 & 7 \end{array} } \right]$

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

c $A LaTex expression showing \left[ {\begin{array} {cc} 7 & 3 \\ 9 & 1 \end{array} } \right]$

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

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

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

Find the resulting 2x2 'minor' matrix when row 1 and column 2 are removed

$A LaTex expression showing M sub 12 \;of\;\left[ {\begin{array} {ccc} 5 & 9 & 5 \\ 8 & 6 & 4 \\ 7 & 0 & 8 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 5 \\ 8 & 4 \end{array} } \right]$

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

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

d $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 9 \\ 7 & 0 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 8 & 6 \\ 7 & 0 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 8 & 4 \\ 7 & 8 \end{array} } \right]$

Find the resulting 2x2 'minor' matrix when row 2 and column 1 are removed

$A LaTex expression showing M sub 21 \;of\;\left[ {\begin{array} {ccc} 5 & 8 & 2 \\ 7 & 9 & 0 \\ 3 & 0 & 6 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 8 \\ 3 & 0 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 2 \\ 7 & 0 \end{array} } \right]$

c $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 2 \\ 3 & 6 \end{array} } \right]$

d $A LaTex expression showing \left[ {\begin{array} {cc} 8 & 2 \\ 0 & 6 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 7 & 9 \\ 3 & 0 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 5 & 8 \\ 7 & 9 \end{array} } \right]$

Find the resulting 2x2 'minor' matrix when row 1 and column 2 are removed

$A LaTex expression showing M sub 12 \;of\;\left[ {\begin{array} {ccc} 9 & 1 & 8 \\ 4 & 7 & 0 \\ 2 & 2 & 6 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 9 & 8 \\ 2 & 6 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 7 \\ 2 & 2 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {cc} 1 & 8 \\ 2 & 6 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 9 & 8 \\ 4 & 0 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 4 & 0 \\ 2 & 6 \end{array} } \right]$

Find the resulting 2x2 'minor' matrix when row 3 and column 1 are removed

$A LaTex expression showing M sub 31 \;of\;\left[ {\begin{array} {ccc} 5 & 3 & 8 \\ 7 & 6 & 1 \\ 0 & 2 & 1 \end{array} } \right]$

a $A LaTex expression showing \left[ {\begin{array} {cc} 7 & 6 \\ 0 & 2 \end{array} } \right]$

b $A LaTex expression showing \left[ {\begin{array} {cc} 6 & 1 \\ 2 & 1 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {cc} 3 & 8 \\ 6 & 1 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 3 & 8 \\ 2 & 1 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 7 & 1 \\ 0 & 1 \end{array} } \right]$

Find the resulting 2x2 'minor' matrix when row 3 and column 2 are removed

$A LaTex expression showing M sub 32 \;of\;\left[ {\begin{array} {ccc} 0 & 6 & 7 \\ 2 & 4 & 2 \\ 6 & 1 & 4 \end{array} } \right]$

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

b $A LaTex expression showing \left[ {\begin{array} {cc} 0 & 7 \\ 2 & 2 \end{array} } \right]$

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

d $A LaTex expression showing \left[ {\begin{array} {cc} 0 & 7 \\ 6 & 4 \end{array} } \right]$

e $A LaTex expression showing \left[ {\begin{array} {cc} 2 & 2 \\ 6 & 4 \end{array} } \right]$

f $A LaTex expression showing \left[ {\begin{array} {cc} 6 & 7 \\ 4 & 2 \end{array} } \right]$

Matrices - Find Minor Matrix from Description (3x3) Worksheet