दिए गए गुणनफल की गणना कीजिए: $\left[\begin{array}{cc}1 & -2 \\ 2 & 3\end{array}\right]\left[\begin{array}{lll}1 & 2 & 3 \\ 2 & 3 & 1\end{array}\right]$

  • A
    $\left[\begin{array}{ccc}-3 & -4 & 1 \\ 8 & 13 & 9\end{array}\right]$
  • B
    $\left[\begin{array}{ccc}3 & 4 & -1 \\ -8 & -13 & -9\end{array}\right]$
  • C
    $\left[\begin{array}{ccc}-3 & 4 & 1 \\ 8 & -13 & 9\end{array}\right]$
  • D
    $\left[\begin{array}{ccc}3 & -4 & 1 \\ -8 & 13 & -9\end{array}\right]$

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यदि $A = \frac{1}{\pi} \begin{bmatrix} \sin^{-1}(x\pi) & \tan^{-1}(\frac{x}{\pi}) \\ \sin^{-1}(\frac{x}{\pi}) & \cot^{-1}(\pi x) \end{bmatrix}$ और $B = \begin{bmatrix} -\frac{1}{\pi} \cos^{-1}(x\pi) & \frac{1}{\pi} \tan^{-1}(\frac{x}{\pi}) \\ \frac{1}{\pi} \sin^{-1}(\frac{x}{\pi}) & -\frac{1}{\pi} \tan^{-1}(\pi x) \end{bmatrix}$ है,तो $A-B$ का मान क्या होगा?

आव्यूह $A = \frac{1}{3}\begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & -2 \\ -2 & 2 & -1 \end{bmatrix}$ है

यदि दो आव्यूह $A$ और $B$ की कोटि क्रमशः $p \times q$ और $r \times s$ है,तो उन्हें केवल तभी घटाया जा सकता है यदि:

यदि $\begin{bmatrix} 2 & -3 \\ 4 & 0 \end{bmatrix} - \begin{bmatrix} a & c \\ b & d \end{bmatrix} = \begin{bmatrix} 1 & 4 \\ 2 & -5 \end{bmatrix}$ है,तो $(a, b, c, d) = $

आव्यूह $A = \begin{bmatrix} 2 & 3 \\ 4 & 5 \end{bmatrix}$ के लिए,यदि $A^2 - 2I = KA$ है,तो $K = \dots$

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