find which of the given matrices are nonsingular. a) begin{bmatrix}1 & 2 &-3 -1 & 2&3 0 &8&0 end{bmatrix} b)begin{bmatrix}1 & 2 &-3 -1 & 2&3 0 &1&1 end{bmatrix} c) begin{bmatrix}1 & 1 &2 -1 & 3&4 -5 &7&8 end{bmatrix} d) begin{bmatrix}1 & 1 &4&-1 1 & 2&3&2 -1 &3&2&1-2&6&12&-4 end{bmatrix}

Reggie 2021-02-09 Answered
find which of the given matrices are nonsingular.
a) [123123080]
b)[123123011]
c) [112134578]
d) [11411232132126124]
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Expert Answer

averes8
Answered 2021-02-10 Author has 92 answers
Step 1
Since you have posted a multiple sub-parts problems ,we solve first 3 sub-parts for you .To get the remaining sub-parts solved please repost the complete question ,and mention sub-parts to be solved.
We have given some matrices and we have to determine which matrices are non-singular among them.
Step 2 First note that a matrix A is said to be nonsingular if det(A)0.We will use this to determine the non singularity of the matrices .
a) we have A=[123123080]
Now det(A)=1×(024)2×(00)3×(80)=24+24=0
Since determinant is 0 so the matrix is singular ,not non-singular.
b) B=[123123011]
Now det(B)=1×(23)2×(10)3×(10)=1+2+3=40
Sine the determinant is non-zero so the matrix is non-singular .
c) C=[112134578]
Now, det(C)=1×(2428)1×(8+20)+2×(7+15)=0
Since determinant is 0 so the matrix is singular ,not non-singular.
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Jeffrey Jordon
Answered 2022-01-23 Author has 2313 answers

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