Find all solutions of the matrix equation `X^2=1,` where 1 is the 2-rowed unit matrix, and X is a real matrix,i.e. a matrix all of whose elements are real.

Find all solutions of the matrix equation X^2=1, where 1 is the 2*2 unit matrix, and X is a real matrix,i.e. a matrix all of whose elements are real.

Solve the matrix equation [5411]X=[1-213], where X is a 2xx2 matrix.

The number of solutions of the matrix equation X^2=[(1,1),( 2 ,3)] is

if for a matrix A, A^2+I=O , where I is the identity matrix, then A equals

If for a matrix A,A^(2)+I=O where I is the indentity matrix, then A=

The matrix A = [(1, 2),( 0,1)] is (a) a Unit matrix (b) a diagonal matrix (c) a scalar matrix (d) None of these

The matrix A = [(1, 2),( 0,1)] is (a) a Unit matrix (b) a diagonal matrix (c) a scalar matrix (d) None of these

(aA)^(-1)=(1)/(a)A^(-1) , where a is any real number and A is a square matrix.

Show that the matrix A=({:(2,-3),(3,4):}) satisfies the equation A^(2)-6A+17I=O and hence find A^(-1) where I is the identity matrix and O is the null matrix of order 2 times 2 .

If A is a square matrix of order 3 such that A^2 + A + 4I =0 , where 0 is the zero matrix and I is the unit matrix of order 3, then