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

This math topic focuses on finding minor matrices from given 3x3 matrices. Each problem directs the learner to extract a 2x2 matrix by removing one specified row and one column from a 3x3 matrix. The skills practiced include understanding matrix terminology and operations, particularly identifying and forming the minor matrix by excluding certain rows and columns, and reinforcing matrix concepts through multiple-choice questions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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Math worksheet on 'Matrices - Find Minor Matrix from Description (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 when row 2 and column 1 are removed
A LaTex expression showing M sub 21 \;of\;\left[ {\begin{array} {ccc} 5 & 6 & 9 \\ 7 & 6 & 3 \\ 6 & 0 & 4 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 5 & 6 \\ 7 & 6 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 6 & 9 \\ 0 & 4 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 5 & 6 \\ 6 & 0 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 7 & 3 \\ 6 & 4 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 6 & 9 \\ 6 & 3 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 7 & 6 \\ 6 & 0 \end{array} } \right]
2
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} 7 & 1 & 5 \\ 4 & 4 & 3 \\ 6 & 6 & 9 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 4 & 3 \\ 6 & 9 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 7 & 1 \\ 4 & 4 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 7 & 5 \\ 4 & 3 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 7 & 1 \\ 6 & 6 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 4 & 4 \\ 6 & 6 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 7 & 5 \\ 6 & 9 \end{array} } \right]
3
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} 6 & 5 & 1 \\ 9 & 3 & 8 \\ 8 & 7 & 2 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 5 & 1 \\ 7 & 2 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 5 & 1 \\ 3 & 8 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 9 & 3 \\ 8 & 7 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 9 & 8 \\ 8 & 2 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 6 & 1 \\ 8 & 2 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 3 & 8 \\ 7 & 2 \end{array} } \right]
4
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} 2 & 9 & 4 \\ 9 & 8 & 3 \\ 6 & 5 & 0 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 2 & 4 \\ 9 & 3 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 2 & 4 \\ 6 & 0 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 2 & 9 \\ 6 & 5 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 9 & 8 \\ 6 & 5 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 2 & 9 \\ 9 & 8 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 9 & 3 \\ 6 & 0 \end{array} } \right]
5
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 & 3 & 0 \\ 7 & 6 & 4 \\ 9 & 7 & 5 \end{array} } \right]
a A LaTex expression showing \left[ {\begin{array} {cc} 3 & 3 \\ 7 & 6 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 3 & 0 \\ 6 & 4 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 3 & 0 \\ 7 & 5 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 7 & 6 \\ 9 & 7 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 3 & 0 \\ 7 & 4 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 7 & 4 \\ 9 & 5 \end{array} } \right]
6
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} 2 & 2 \\ 6 & 4 \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 \\ 2 & 2 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 6 & 7 \\ 4 & 2 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 0 & 7 \\ 6 & 4 \end{array} } \right]
7
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} 7 & 3 \\ 9 & 1 \end{array} } \right]
b A LaTex expression showing \left[ {\begin{array} {cc} 3 & 8 \\ 9 & 7 \end{array} } \right]
c A LaTex expression showing \left[ {\begin{array} {cc} 3 & 2 \\ 7 & 3 \end{array} } \right]
d A LaTex expression showing \left[ {\begin{array} {cc} 3 & 2 \\ 9 & 1 \end{array} } \right]
e A LaTex expression showing \left[ {\begin{array} {cc} 3 & 9 \\ 1 & 7 \end{array} } \right]
f A LaTex expression showing \left[ {\begin{array} {cc} 7 & 9 \\ 9 & 7 \end{array} } \right]