If A2 – A + I = 0, then the inverse of A is
A + I
A
A – I
A – I
D.
A – I
Given A2 – A + I = 0
A–1A2 – A–1A + A–1 – I = A–1⋅0 (Multiplying A–1 on both sides)
⇒ A - I + A-1 = 0 or A–1 = I – A.
Let A The only correct statement about the matrix A is
A is a zero matrix
A2 = I
A−1 does not exist
A−1 does not exist
The linear system of equations
has
Only zero solution
Only finite number of non-zero solution
No non-zero solution
Infinitely many non-zero solution
Let P be the set of non-singular matrices of order 3 over R and Q be the set of all orthogonal of matrices of order 3 over R. Then,
P is proper subset of Q
Q is proper subset of P
Neither P is proper subset of Q nor Q is proper subset of P
, the void set
Let a, b, c be such that b(a + c) 0.
If = 0, then the value of n is
any integer
zero
any even integer
any odd integer