Find the determinate A=begin{bmatrix}4 & 1 3 & 2 end{bmatrix} B=begin{bmatrix}2 & 0&1 0 & 1&00&2&1 end{bmatrix} C=begin{bmatrix}3 & -2&0 -2 & 3&00&0&0 end{bmatrix}

babeeb0oL 2020-11-30 Answered
Find the determinate
A=[4132]
B=[201010021]
C=[320230000]
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Expert Answer

Velsenw
Answered 2020-12-01 Author has 91 answers

Step 1
For the 2×2 matrix we can find determinants by multiplying the diagonal numbers and find the difference between their products. For other square matrices, we have to expand along row or column as seen in the below steps to find the determinant.
Step 2
(1)A=[4132]
|A|=4×23×1=83=5
Determinant of A is 5
Step 3
(2) B=[201010021]
|B|=2(12×0)0(00)+1(00)
=2
Determinant of B is 2
Step 4
(3) C=[320230000]

|C|=3(3×00×0)+2(2×00×0)+0(2×03×0)
=3×0+2×0+0=0
Determinant of C is 0

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Jeffrey Jordon
Answered 2022-01-29 Author has 2047 answers

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