IF P - - 2 6- 3 9 - and Q - - 3 x- y 2 - find x and y such that PQ - null matrix-

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Null Matrix

IF P = [ 2 6;...

Question

IF $P = [\begin{matrix} 2 & 6 3 & 9 \end{matrix}] a n d Q = [\begin{matrix} 3 & x y & 2 \end{matrix}],$ find x and y such that PQ = null matrix.

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Similar questions

[\begin{matrix} 9 & 1 \\ 7 & 8 \end{matrix}]

[\begin{matrix} 1 & 5 \\ 7 & 12 \end{matrix}]

[\begin{matrix} - 1 & 2 \\ 3 & 4 \end{matrix}]

[\begin{matrix} 3 & - 2 \\ 1 & 5 \end{matrix}]

[\begin{matrix} 8 & 0 \\ 4 & - 2 \\ 3 & 6 \end{matrix}]

[\begin{matrix} 2 & - 2 \\ 4 & 2 \\ - 5 & 1 \end{matrix}]

P

Q

I

O

P Q = Q P

P^{6} - Q^{6} = P^{5} - Q^{5} = P^{4} - Q^{4} = I

8 . If p - q = 9 and pq = 36, evaluate (i) p + q (ii) p^{2} - q^{2} 9 . If x + y = 6 and x - y = 4, find (i) x^{2} + y^{2} (ii) xy Hint . (ii) 4 xy = {(x + y)}^{2} - {(x - y)}^{2}

A = [\begin{matrix} 1 & 5 7 & 12 \end{matrix}] & B = [\begin{matrix} 9 & 1 7 & 8 \end{matrix}],

C

3 A + 5 B + 2 C

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