Question

For two matrices P = `[(3, 4),(-1, 2),(0, 1)]` and Q^T = `[(-1, 2, 1),(1, 2, 3)]` P – Q is ______.

Options

• `[(2, 3),(-3, 0),(0, -3)]`

• `[(4, 3),(-3, 0),(-1, -2)]`

• `[(4, 3),(-0, -3),(-1, -2)]`

• `[(2, 3),(0, -3),(0, -3)]`

Answer 1

For two matrices P = `[(3, 4),(-1, 2),(0, 1)]` and Q^T = `[(-1, 2, 1),(1, 2, 3)]` P – Q is `underlinebb([(4, 3),(-3, 0),(-1, -2)])`.

Explanation:

Here, `Q = (Q^T)^T = [(-1, 1),(2, 2),(1, 3)]`

Now, `P - Q = [(3, 4),(-1, 2),(0, 1)] - [(-1, 1),(2, 2),(1, 3)]`

= `[(4, 3),(-3, 0),(-1, -2)]`