-5
-2
2
5
Correct answer is D
\(P = \begin{pmatrix} 3 & 4 \\ 2 & x \end{pmatrix}; Q = \begin{pmatrix} 1 & 3 \\ -2 & 4 \end{pmatrix}; R = \begin{pmatrix} -5 & 25 \\ -8 & 26 \end{pmatrix}\)
PQ = \(\begin{pmatrix} 3 & 4 \\ 2 & x \end{pmatrix} \begin{pmatrix} 1 & 3 \\ -2 & 4 \end{pmatrix} = \begin{pmatrix} -5 & 25 \\ 2 - 2x & 6 + 4x \end{pmatrix} = R\)
\(\implies 2 - 2x = -8; -2x = -8 - 2 = -10\)
\(6 + 4x = 26 \implies 4x = 26 - 6 = 20\)
\(\implies x = 5\)
Simplify \(\frac{1}{(1-\sqrt{3})^{2}}\)...
The inverse of a function is given by \(f^{-1} : x \to \frac{x + 1}{4}\)....
If \(y = 2(2x + \sqrt{x})^{2}\), find \(\frac{\mathrm d y}{\mathrm d x}\)....
Find the standard deviation of the numbers 3,6,2,1,7 and 5. ...
Given that \(\begin{pmatrix} 1 & -3 \\ 1 & 4 \end{pmatrix} \begin{pmatrix} -6 \\ P \end{pmat...
Find the equation to the circle \(x^{2} + y^{2} - 4x - 2y = 0\) at the point (1, 3)....
Evaluate \(\int_{-1}^{1} (x + 1)^{2}\mathrm {d} x\). ...
The derivative of a function f with respect to x is given by \(f'(x) = 3x^{2} - \frac{4}{x^{5}}\...