Matrices P and Q are defined by P= and Q=. Where x, y∈R (a) Given the determinant of P is 2, obtain:

(i) The value of x.

(ii)

(iii) , where Q' is the transpose of Q.

(b) The matrix R is defined by R=, where z∈R.

Determine the value of z such that R is singular.

I-872807 karnal linani nje le-lasar uxolo

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -