If P = $\begin {pmatrix} 2 & 3\\  -4 & 1 \end {pmatrix}$, Q = $\begin{pmatrix} 6 \\ 8 \end {pmatrix}$ and PQ = k $\begin {pmatrix} 45\\ -20 \end {pmatrix}$. Find the value of k.

Similar Questions

Find the 3rd term of $(\frac{x}{2} - 1)^{8}$ in descending order of x....

Given that $P = \begin{pmatrix} -2 & 1 \\ 3 & 4 \end{pmatrix}$ and \(Q = \begin{pmatrix} 5...

Solve the inequality $x^{2} - 2x \geq 3$...

If $\overrightarrow{OA} = 3i + 4j$ and $\overrightarrow{OB} = 5i - 6j$ where O is the origin an...

A binary operation * is defined on the set of real numbers R, by a* b = -1. Find the identity elemen...

A bag contains 8 red, 4 blue and 2 green identical balls. Two balls are drawn randomly from the bag ...

If $X$ and $Y$ are two independent events such that $P (X) = \frac{1}{8}$ and \(P (X ⋃ Y) = ...

Find the magnitude and direction of the vector $p = (5i - 12j)$...

The coordinates of the centre of a circle is (-2, 3). If its area is $25\pi cm^{2}$, find its equa...

A group of 5 boys and 4 girls is to be chosen from a class of 8 boys and 6 girls. In how many ways c...