MCQ
${\left[ {\begin{array}{*{20}{c}}{ - 6}&5\\{ - 7}&6\end{array}} \right]^{ - 1}}$=
  • $\left[ {\begin{array}{*{20}{c}}{ - 6}&5\\{ - 7}&6\end{array}} \right]$
  • B
    $\left[ {\begin{array}{*{20}{c}}6&{ - 5}\\{ - 7}&6\end{array}} \right]$
  • C
    $\left[ {\begin{array}{*{20}{c}}6&5\\7&6\end{array}} \right]$
  • D
    $\left[ {\begin{array}{*{20}{c}}6&{ - 5}\\7&{ - 6}\end{array}} \right]$

Answer

Correct option: A.
$\left[ {\begin{array}{*{20}{c}}{ - 6}&5\\{ - 7}&6\end{array}} \right]$
a
(a) Since $\left[ {\begin{array}{*{20}{c}}{ - 6}&5\\{ - 7}&6\end{array}} \right]\,\,\left[ {\begin{array}{*{20}{c}}{ - 6}&5\\{ - 7}&6\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}1&0\\0&1\end{array}} \right]$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

If $d = \lambda \,(a \times b) + \mu \,(b \times c) + \nu \,(c \times a)$and $[a\,b\,c] = \frac{1}{8},$ then $\lambda + \mu + \nu $ is equal to
Choose the correct answer from the given four options.
If A and B are two independent events with $\text{P}(\text{A})=\frac{3}{5}$ and $\text{P}(\text{A})=\frac{4}{9},$ then $\text{P}(\text{A'}\cap\text{B'})$ equals:
  1. $\frac{4}{15}$
  2. $\frac{8}{45}$
  3. $\frac{1}{3}$
  4. $\frac{2}{9}$
The corner points of the feasible region determined by the following system of linear inequalities:
$2\text{x}+\text{y}\le10,\ \text{x}+3\text{y}\le15,\ \text{x},\ \text{y}\ge0$ are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is:
  1. p = q
  2. p = 2q
  3. p = 3q
  4. q = 3p.
If $f(x)\, = {x^2} - x + 5,\,\,x > \frac{1}{2},$ and $g(x)$ is its inverse function, then $g'(7)$ equals
Choose the correct answer from the given four options.

The feasible solution for a LPP shown in Fig. 12.12. Let z = 3x - 4y be objective functio. (Maximum value of Z + Minimum value of Z) is equal to:
  1. 13.
  2. 1.
  3. -13.
  4. -17.
If $\text{xy}-\log_\text{e}\text{y}=1$ satisfies the equation $\text{x}(\text{yy}_2+\text{y}_1^2)-\text{y}_2+\lambda\text{yy}_1=0,$ then $\lambda=$
  1. -3
  2. 1
  3. 3
  4. None of these
The number of arbitary constant in general solution of fourth order differential equation is __________ .
If $\text{P(A)}=\frac{2}{5},\text{P(B)}=\frac{3}{10}$ and $\text{P}(\text{A}\cap\text{B})=\frac{1}{5},$ then, $\text{P}(\overline{\text{A}}|\overline{\text{B}}) \text{ P}(\overline{\text{B}}|\overline{\text{A}})$ is equal to
  1. $\frac{5}{6}$
  2. $\frac{5}{7}$
  3. $\frac{25}{42}$
  4. $1$
$\int_{}^{} {\frac{{{x^2}}}{{({x^2} + 2)({x^2} + 3)}}\;} dx = $
If $y = x^{ln\, x}$, then $dy/dx$ equals :-