find which of the given matrices are nonsingular. a) [12−3−123080] b)[12−3−123011] c) [112−134−578] d) [114−11232−1321−2612−4]

Question

find which of the given matrices are nonsingular.  a) [12−3−123080]  b)[12−3−123011]  c) [112−134−578]  d) [114−11232−1321−2612−4]

averes8 · Accepted Answer

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=[12−3−123080]  Now det(A)=1×(0−24)−2×(0−0)−3×(−8−0)=−24+24=0  Since determinant is 0 so the matrix is singular ,not non-singular.  b) B=[12−3−123011]  Now det(B)=1×(2−3)−2×(−1−0)−3×(−1−0)=−1+2+3=4≠0  Sine the determinant is non-zero so the matrix is non-singular .  c) C=[112−134−578]  Now, det(C)=1×(24−28)−1×(−8+20)+2×(−7+15)=0  Since determinant is 0 so the matrix is singular ,not non-singular.

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

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}

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