Determine the values of a and b so that the following matrices are singular:
`B=[(b-1,2,3),(3,1,2),(1,-2,4)]`

Determine the values of a and b so that the following matrices are singular: A = [(7,3),(-2,a)]

Find the rank of the following matrices. [{:(1,-1,1),(3,-2,3),(2,-3,4):}]

Identify the singular and non-singular matrices: [(1,2,3),(4,5,6),(7,8,9)]

Identify the singular and non-singular matrices: [(2,-3,5),(6,0,4),(1,5,-7)]

Determine the matrices A and B if they satisfy 2 A -B+[(6,-6,0),(-4,2,1)] =0 andA-2B=[(3,2,8),(-2,1,-7)]

Prove that the value of each the following determinants zero: (a)|{:(a_(1),,la_(1)+mb_(1),,b_(1)),(a_(2),,la_(2)+mb_(2),,b_(2)),( a_(3),,la_(3)+mb_(3),,b_(3)):}|

For what value of x the matrix A = [(1,-2,3),(1,2,1),(x,2,-3)] is singular.