Matrices - Find Determinant of Minor Matrix from Number (3x3) (Level 1)

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

This math topic focuses on finding the determinant of a 2x2 minor matrix derived from a 3x3 matrix, emphasizing matrix manipulation skills. Each problem asks for the determinant of a specific minor after excluding the row and column of a numbered element within a 3x3 matrix. Multiple choice answers are provided for each question, allowing practice in calculating and confirming correct determinants of minor matrices. This skill is crucial for students learning advanced algebra and serves as a fundamental aspect of matrices.

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

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Find Determinant of Minor Matrix from Number (3x3)

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Find the determinant of the 2x2 'minor' matrix for the '3' at row 3 and column 1

det(M_{31})\;for\left[ {\begin{array} {ccc} 4 & 8 & 1 \\ 1 & 4 & 4 \\ 3 & 0 & 8 \end{array} } \right]

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

Math worksheet on 'Matrices - Find Determinant of Minor Matrix from Number (3x3) (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/

Find the determinant of the 2x2 'minor' matrix for the '0' at row 1 and column 1

$A LaTex expression showing det(M sub 11 )\;for\left[ {\begin{array} {ccc} 0 & 1 & 7 \\ 5 & 1 & 7 \\ 6 & 2 & 1 \end{array} } \right]$

Find the determinant of the 2x2 'minor' matrix for the '2' at row 3 and column 1

$A LaTex expression showing det(M sub 31 )\;for\left[ {\begin{array} {ccc} 5 & 3 & 9 \\ 3 & 5 & 7 \\ 2 & 1 & 0 \end{array} } \right]$

Find the determinant of the 2x2 'minor' matrix for the '3' at row 1 and column 3

$A LaTex expression showing det(M sub 13 )\;for\left[ {\begin{array} {ccc} 4 & 4 & 3 \\ 2 & 4 & 5 \\ 0 & 5 & 4 \end{array} } \right]$

-6

-24

Find the determinant of the 2x2 'minor' matrix for the '2' at row 2 and column 1

$A LaTex expression showing det(M sub 21 )\;for\left[ {\begin{array} {ccc} 1 & 4 & 1 \\ 2 & 0 & 1 \\ 3 & 3 & 4 \end{array} } \right]$

Find the determinant of the 2x2 'minor' matrix for the '6' at row 2 and column 1

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

Find the determinant of the 2x2 'minor' matrix for the '8' at row 2 and column 3

$A LaTex expression showing det(M sub 23 )\;for\left[ {\begin{array} {ccc} 0 & 1 & 2 \\ 2 & 0 & 8 \\ 0 & 5 & 3 \end{array} } \right]$

-3

-2

-19

Find the determinant of the 2x2 'minor' matrix for the '9' at row 3 and column 2

$A LaTex expression showing det(M sub 32 )\;for\left[ {\begin{array} {ccc} 6 & 8 & 0 \\ 7 & 2 & 8 \\ 0 & 9 & 8 \end{array} } \right]$

-3

-12

Practice:

Find Determinant of Minor Matrix from Number (3x3)

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