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

This math topic focuses on finding the determinant of minor matrices for 3x3 matrices. Each question requires the calculation of a determinant for a specific sub-matrix (minor matrix) derived from a given 3x3 matrix. The problems involve stepping through matrix-related terminology and enhancing skills in computations of determinants, crucial for understanding more complex properties of matrices in linear algebra.

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Find Determinant of Minor Matrix from Terminology (3x3)

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


Find the determinant of the 'minor' matrix indicated

det(M22)  for[534372683]det(M_{22})\;for\left[ {\begin{array} {ccc} 5 & 3 & 4 \\ 3 & 7 & 2 \\ 6 & 8 & 3 \end{array} } \right]

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

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Math worksheet on 'Matrices - Find Determinant of Minor Matrix from Terminology (3x3) (Level 1)'. Part of a broader unit on 'Matrices' Learn online: app.mobius.academy/math/units/matrices/
1
Find the determinant of the 'minor' matrix indicated
A LaTex expression showing det(M sub 13 )\;for\left[ {\begin{array} {ccc} 10 & 3 & 9 \\ 1 & 10 & 6 \\ 0 & 8 & 6 \end{array} } \right]
a
0
b
-10
c
-1
d
15
e
8
f
-19
2
Find the determinant of the 'minor' matrix indicated
A LaTex expression showing det(M sub 23 )\;for\left[ {\begin{array} {ccc} 4 & 4 & 1 \\ 1 & 4 & 3 \\ 5 & 4 & 2 \end{array} } \right]
a
2
b
-5
c
24
d
-4
e
-2
f
-9
3
Find the determinant of the 'minor' matrix indicated
A LaTex expression showing det(M sub 22 )\;for\left[ {\begin{array} {ccc} 5 & 3 & 4 \\ 3 & 7 & 2 \\ 6 & 8 & 3 \end{array} } \right]
a
13
b
-9
c
-11
d
-14
e
-1
f
7
4
Find the determinant of the 'minor' matrix indicated
A LaTex expression showing det(M sub 32 )\;for\left[ {\begin{array} {ccc} 9 & 6 & 7 \\ 6 & 8 & 5 \\ 6 & 2 & 8 \end{array} } \right]
a
2
b
15
c
3
d
0
e
5
f
11
5
Find the determinant of the 'minor' matrix indicated
A LaTex expression showing det(M sub 33 )\;for\left[ {\begin{array} {ccc} 2 & 2 & 6 \\ 3 & 4 & 4 \\ 5 & 5 & 9 \end{array} } \right]
a
3
b
1
c
14
d
0
e
-21
f
2
6
Find the determinant of the 'minor' matrix indicated
A LaTex expression showing det(M sub 22 )\;for\left[ {\begin{array} {ccc} 2 & 6 & 1 \\ 8 & 7 & 3 \\ 6 & 6 & 6 \end{array} } \right]
a
-12
b
4
c
6
d
3
e
-1
f
9
7
Find the determinant of the 'minor' matrix indicated
A LaTex expression showing det(M sub 11 )\;for\left[ {\begin{array} {ccc} 3 & 1 & 7 \\ 6 & 0 & 1 \\ 7 & 7 & 1 \end{array} } \right]
a
-7
b
-14
c
-4
d
0
e
-6
f
-11