If A=is not invertible then λ=?
A. 2

B. 1

C. -1

D. 0

Which of the following statements are True or False

If A, B and C are square matrices of same order, then AB = AC always implies that B = C.

Which of the following statements are True or False

If A, B and C are square matrices of same order, then AB = AC always implies that B = C.

Using matrices solve the following system of equations.

3x + 4y + 7z = 4

2x – y + 3z = –3

x + 2y – 3z = 8

Using matrices, solve the following system of equations:

2x - 3y + 5z = 11

3x + 2y - 4z = -5

x + y - 2z = -3

On her birthday Seema decided to donate some money to children of an orphanage home. If there were 8 children less, everyone would have got ₹10 more. However, if there were 16 children more, everyone would have got ₹10 less. Using the matrix method, find the number of children and the amount distributed by Seema. What values are reflected by Seema’s decision?

Using matrices solve the following system of equations:

x + y – z = 3; 2x + 3y + z = 10; 3x – y – 7z = 1

If A is an invertible matrix and A^-1 = then A=?

If A=is not invertible then λ=?

Find the adjoint of the matrix and hence show that A(adj A) = |A| I₃.