Determine the values of a and b for which the system `[(3,-2,1),(5,-8,9),(2,1,a)][(x),(y),(z)]=[(b),(3),(-1)]`

Determine the values of a and b for which the [[3,-2,15,-8,92,1,a]][[xyz]]=[[b3-1]]

Let A and B be two matrices of the same order 3xx3 such that A=[(-5,1,3),(7,1,-5),(1,-1,1)] and B=[(1,1,2),(3,2,1),(2,1,3)] x+y+2z=1, 3x+2y+z=7 and 2x+y+3z=2 be a system of equatons in x,y,z The value of AB and hence solve the system of equation (A) [(-5,1,5),(21,2,-5),(2,-1,3)] (B) [(4,0,0),(0,4,0),(0,0,4)] (C) [(0,0,1),(0,1,0),(1,0,0)] (D) [(2,-5,1),(1,3,6),(0,0,-0)]

Determine the values of lambda for which the following system of equations: lambda x+3y-z=1x+2y+z=2-lambda x+y+2z=-1 has non-trival solutions.

Determine the values of a and b for which the following system of linear equations has infinite solutions: 2x-(a-4)y=2b+1 and 4x-(a-1)y=5b-1

Consider the system of equations [[3,-2,1],[5,-8,9],[2,1,a]][[x],[y],[z]]=[[b],[3],[-1]] The values of a,b for which the above system has no solution a=-3,b in R a=-3,b=(1)/(3) a!=-3,b!=(1)/(3) a=-3,b!=(1)/(3)

[" The values of "a,b" for "],[" which the system of "],[" equations "],[[3x-2y+z=b,5x-8y+9z=3,2x+y+az=0],[" has no solution,are - "],[" - - "],[[a=-3,b in R],[a=-3,b=1/3]]]

The least value of the product xyz for which the determinant |(x,1,1),(1,y,1),(1,1,z)| is non-negative, is: (A) -16sqrt2 (B) -2sqrt2 (C) -1 (D) -8

The value of alpha for which the lines (x-1)/(2)=(2y-1)/(3)=(1-3z)/(alpha) and (x+1)/(2)=(3y-5)/(2)=(z-4)/(3) are perpendicular to each other is

Determination the product [{:(,1,-1,1),(,1,-2,-2),(,2,1,3):}] [{:(,-4,4,4),(,-7,1,3),(,5,-3,-1):}] and use it to solve the system of equations x-y+z=4, x-2y-2z=9, 2x+y+3z=1