Find Minor Matrix from Number (3x3) (Level 1)

This math topic focuses on finding the minor matrices from a given 3x3 matrix. Each problem presents a specific element (by row and column location) from several 3x3 matrices, and the task is to determine the corresponding 2x2 minor matrix that results from removing the row and column containing that element. The topic is central to understanding larger concepts of matrices such as determinants and inverses, making it essential for students to grasp the workings of minor matrices within the broader unit on matrices.

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

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Math worksheet on 'Matrices - Find Minor Matrix from Number (3x3) (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/
1
Find the resulting 2x2 'minor' matrix for the '6' at row 2 and column 1
A LaTex expression showing M sub 21 \;of\;\left[ {\begin{array} {ccc} 5 & 7 & 3 \\ 6 & 7 & 2 \\ 4 & 9 & 5 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 7 & 3 \\ 9 & 5 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 5 & 7 \\ 6 & 7 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 7 & 2 \\ 9 & 5 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 6 & 7 \\ 4 & 9 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 7 & 3 \\ 7 & 2 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 6 & 2 \\ 4 & 5 \end{array} } \right]
2
Find the resulting 2x2 'minor' matrix for the '9' at row 2 and column 3
A LaTex expression showing M sub 23 \;of\;\left[ {\begin{array} {ccc} 7 & 7 & 8 \\ 3 & 7 & 9 \\ 0 & 7 & 6 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 7 & 8 \\ 7 & 9 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 3 & 9 \\ 0 & 6 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 7 & 8 \\ 3 & 9 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 3 & 7 \\ 0 & 7 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 7 & 7 \\ 0 & 7 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 7 & 7 \\ 3 & 7 \end{array} } \right]
3
Find the resulting 2x2 'minor' matrix for the '6' at row 2 and column 3
A LaTex expression showing M sub 23 \;of\;\left[ {\begin{array} {ccc} 8 & 1 & 7 \\ 5 & 5 & 6 \\ 3 & 1 & 8 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 5 & 6 \\ 3 & 8 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 8 & 1 \\ 3 & 1 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 1 & 7 \\ 1 & 8 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 8 & 7 \\ 5 & 6 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 8 & 1 \\ 5 & 5 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 5 & 6 \\ 1 & 8 \end{array} } \right]
4
Find the resulting 2x2 'minor' matrix for the '3' at row 1 and column 1
A LaTex expression showing M sub 11 \;of\;\left[ {\begin{array} {ccc} 3 & 0 & 0 \\ 4 & 9 & 9 \\ 1 & 6 & 5 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 0 & 0 \\ 6 & 5 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 0 & 0 \\ 9 & 9 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 3 & 0 \\ 4 & 9 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 3 & 0 \\ 1 & 5 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 3 & 0 \\ 1 & 6 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 9 & 9 \\ 6 & 5 \end{array} } \right]
5
Find the resulting 2x2 'minor' matrix for the '9' at row 2 and column 2
A LaTex expression showing M sub 22 \;of\;\left[ {\begin{array} {ccc} 10 & 5 & 2 \\ 2 & 9 & 5 \\ 6 & 3 & 7 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 9 & 5 \\ 3 & 7 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 10 & 2 \\ 6 & 7 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 10 & 5 \\ 2 & 9 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 5 & 2 \\ 9 & 5 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 10 & 2 \\ 2 & 5 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 2 & 5 \\ 6 & 7 \end{array} } \right]
6
Find the resulting 2x2 'minor' matrix for the '9' at row 3 and column 3
A LaTex expression showing M sub 33 \;of\;\left[ {\begin{array} {ccc} 4 & 7 & 1 \\ 5 & 7 & 6 \\ 5 & 2 & 9 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 5 & 6 \\ 5 & 9 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 5 & 7 \\ 5 & 2 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 4 & 7 \\ 5 & 7 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 4 & 1 \\ 5 & 9 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 7 & 6 \\ 2 & 9 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 4 & 1 \\ 5 & 6 \end{array} } \right]
7
Find the resulting 2x2 'minor' matrix for the '0' at row 1 and column 1
A LaTex expression showing M sub 11 \;of\;\left[ {\begin{array} {ccc} 0 & 5 & 3 \\ 4 & 1 & 7 \\ 2 & 1 & 7 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 0 & 5 \\ 2 & 1 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 0 & 3 \\ 4 & 7 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 1 & 7 \\ 1 & 7 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 5 & 3 \\ 1 & 7 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 4 & 7 \\ 2 & 7 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 0 & 5 \\ 4 & 1 \end{array} } \right]