EASY
Earn 100

Consider the following statements

(i) The inverse of square matrix, if it exist, is unique.

(ii) If A and B are singular matrices of order n, then AB is also a singular matrix of order n.

Which of the following statements above is/are correct?

50% studentsanswered this correctly

Important Questions on Matrices

EASY
Let M be 2×2 symmetric matrix with integer entries, then M is invertible if
EASY
Let A=12245x62-1-23. The value of x for which the matrix A is not invertible is
EASY
If for a square matrix A of even order, AT=-A, then A-1T is equal to
EASY
If A is a scalar matrix with scalar k0, of order 3, then A-1 is :
EASY
If B=52α1021α3-1 is the inverse of a 3×3 matix A, then the sum of all values of α for which  detA+1=0, is:
EASY

If A is a scalar matrix with scalar k0, of order 3 then A-1 is 

EASY
If A2-A+I=O, then the inverse of A is
EASY
If A is an invertible 3×3 matrix such that A3+A2=4A+I, then which of the following is TRUE?
EASY
If A is a non-singular matrix and A+IA-I=0 then A+A-1=
EASY
If A=2294 and I=1001, then 10A-1, is equal to.
EASY
Matrixes X and Y are inverse of each other then ______
EASY
The inverse of the matrix 200030004 is
EASY
If the inverse of the matrix A=π2217 is k7-22-1π, then the value of k is equal to
EASY
If A and B are invertible matrices then which of the following is not correct?
EASY
If the inverse of 31-12 is 172-1x3, then x is equal to
HARD
The inverse of the matrix 10033052-1 is
MEDIUM
If A=ete-tcos te-tsin tet-e-tcost-e-tsint-e-tsint+e-tcostet2e-tsint-2e-tcost, then A is:
EASY
Let A be a square matrix of order 3 whose all entries are 1 and let I3 be the identity matrix of order 3. Then, the matrix A-3I3 is
EASY
If A=-122-1 and B=31, AX=B, then X is equal to
EASY
Inverse of a diagonal non-singular matrix is