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Suppose
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a
A=a1a2a3a4a5a6a7a8a9 is singular
b
The system of equations a1x+a2y+a3z=0, a4x+a5y+a6z=0, a7x+a8y+a8z=0 has infinite number of solutions
c
B=a1ia2ia2a1 is non-singular ; where i=−1
d
None of these
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Correct option is A
We have, |A|=a1a2a3a4a5a6a7a8a9=a1a2a33d3d3dddd=0 [Using R3→R3−R2 and R2→R2−R1] ∴ The given system of homogenous equations has infinite number of solutions.Also, |B|=a12+a22≠0. Thus,B is non-singular.Similar Questions
let X be matrix such that
Statement – I : X is a non singular and det
Statement – I : X is singular matrix
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