If the matricx A = , then An = where
a = 2n, b = 2n
a = 2n, b = 2n
a = 2n, b = n2n - 1
a = 2n, b = n2n
For a matrix , if U1, U2, and U3. are column matrices satisfying and U is matrix whose columns are U1, U2, and U3. Then, sum of the elements of U- 1
6
0
1
2/3
Let I denote the 3 x 3 identity matrix and P be a matrix obtained by rearranging the columns of I. Then,
there are six distinct choices for P and det (P) = 1
there are six distinct choices for P and det (P) =
there are more than one choices for P and some of them are not invertible
there are more than one choices for P and P- 1 = I in each choice
The system of linear equations x + y + z = 3, x - y - 2z = 6, - x + y + z = µ has
infinite number of solutions for -1 and all µ
infinite number of solutions for = - 1 and = 3
no solution for
unique solution for = - 1 and = 3
If A and B are two matrices such that A + B and AB are both defined, then
A and B can be any matrices
A, B are square matrices not necessarily of the same order
A, B are square matrices of the same order
number of columns of A = number of rows of B
C.
A, B are square matrices of the same order
Let A and B both have a matrices of order m x n.
Also, AB is defined, it means m = n.
Hence, A and B are square matrices of same order.