Question

How to solve these questions Help!!

Answer 1

see explanation

Explanation:

(i)

Multiply each of the elements in P by 4

4
`\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right]`

=
`\left[\begin{array}{ccc}0&-4\\4&0\\\end{array}\right]`

(ii)

Subtract the corresponding elements in Q from P

`\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right]` -
`\left[\begin{array}{ccc}1&-2\\0&1\\\end{array}\right]`

=
`\left[\begin{array}{ccc}0-1&-1-(-2)\\1-0&0-1\\\end{array}\right]`

=
`\left[\begin{array}{ccc}-1&3\\1&-1\\\end{array}\right]`

(iii)

Multiply and sum corresponding elements in row 1/column 1, row 1/ column 2, row 2/column 1, row 2/ column 2

`\left[\begin{array}{ccc}0&1\\1&0\\\end{array}\right]\left[\begin{array}{ccc}0&1\\1&0\\\end{array}\right]`

=
`\left[\begin{array}{ccc}(0(0)+(1(1)&0(1)+1(0)\\1(0)+0(1)&1(1)+0(0)\\\end{array}\right]`

=
`\left[\begin{array}{ccc}0+1&0+0\\0+0&1+0\\\end{array}\right]`

=
`\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right]`

(iv)

Multiply and sum corresponding elements in row 1/ column 1, row 2/ column 1

`\left[\begin{array}{ccc}1&-2\\0&1\\\end{array}\right]`
`\left[\begin{array}{ccc}-3\\5\\\end{array}\right]`

=
`\left[\begin{array}{ccc}1(-3)+(-2)5\\0(-3)+1(5)\\\end{array}\right]`

=
`\left[\begin{array}{ccc}-3-10\\0+5\\\end{array}\right]`

=
`\left[\begin{array}{ccc}-13\\5\\\end{array}\right]`