यदि $A = \begin{bmatrix} 8 & 0 \\ 4 & -2 \\ 3 & 6 \end{bmatrix}$ और $B = \begin{bmatrix} 2 & -2 \\ 4 & 2 \\ -5 & 1 \end{bmatrix}$ है,तो आव्यूह $X$ ज्ञात कीजिए ताकि $2A + 3X = 5B$ हो।
- A$\begin{bmatrix} 2 & -\frac{10}{3} \\ 4 & \frac{14}{3} \\ -\frac{31}{3} & \frac{7}{3} \end{bmatrix}$
- B$\begin{bmatrix} 2 & \frac{10}{3} \\ 4 & \frac{14}{3} \\ -\frac{31}{3} & \frac{7}{3} \end{bmatrix}$
- C$\begin{bmatrix} -2 & \frac{10}{3} \\ 4 & -\frac{14}{3} \\ -\frac{31}{3} & \frac{7}{3} \end{bmatrix}$
- D$\begin{bmatrix} -2 & -\frac{10}{3} \\ 4 & \frac{14}{3} \\ -\frac{31}{3} & -\frac{7}{3} \end{bmatrix}$
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यदि $A = \begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix}$ और $\alpha, \beta \in \mathbb{R}$ इस प्रकार हैं कि $\alpha A^2 - \beta A = 2I$, तो $\alpha^2 + \beta =$
यदि $ A=\left[\begin{array}{cc}0 & 1 \\ 1 & 0\end{array}\right] $ है,तो $ A^{2} $ किसके बराबर है?
MediumKCET 2015
View Solutionयदि $A = \begin{vmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{vmatrix}$ है,तो $1 + A^2 =$ . . . . . . .
यदि $A = \begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$ है,तो $A^{100} = $ . . . . . . .
यदि $x \begin{bmatrix} 2 \\ 3 \end{bmatrix} + y \begin{bmatrix} -1 \\ 1 \end{bmatrix} = \begin{bmatrix} 10 \\ 5 \end{bmatrix}$ है,तो $x$ और $y$ के मान ज्ञात कीजिए।
Easy
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