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

babeeb0oL

Answered question

2020-11-30

Find the determinate
A=[4132]
B=[201010021]
C=[320230000]

Answer & Explanation

Velsenw

Velsenw

Skilled2020-12-01Added 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

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-29Added 2605 answers

Answer is given below (on video)

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