જો $X+Y=\left[\begin{array}{ll}7 & 0 \\ 2 & 5\end{array}\right]$ અને $X-Y=\left[\begin{array}{ll}3 & 0 \\ 0 & 3\end{array}\right]$ હોય,તો $X$ અને $Y$ શોધો.

  • A
    $X = \left[\begin{array}{ll}5 & 0 \\ 1 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}2 & 0 \\ 1 & 1\end{array}\right]$
  • B
    $X = \left[\begin{array}{ll}5 & 0 \\ 1 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}2 & 0 \\ 1 & 2\end{array}\right]$
  • C
    $X = \left[\begin{array}{ll}5 & 0 \\ 2 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}2 & 0 \\ 1 & 1\end{array}\right]$
  • D
    $X = \left[\begin{array}{ll}4 & 0 \\ 1 & 4\end{array}\right]$,$Y=\left[\begin{array}{ll}3 & 0 \\ 1 & 1\end{array}\right]$

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Similar Questions

જો $A = \begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 4 \end{bmatrix}$ અને $B = \begin{bmatrix} 1 & 0 & 0 \\ 0 & -2 & 0 \\ 0 & 0 & -3 \end{bmatrix}$ હોય, તો $A^2 + B^2=$ . . . . . . .

જો $A = \begin{bmatrix} \alpha & \beta \\ \gamma & -\alpha \end{bmatrix}$ એવું હોય કે જેથી $A^{2} = I$ થાય,તો

જો $A = \begin{bmatrix} 0 & 1 & 2 \\ 2 & 3 & 0 \\ 4 & 0 & 3 \end{bmatrix}$ અને $B$ એવો શ્રેણિક છે કે જેથી $AB = BA$ થાય. જો $AB$ એ એકમ શ્રેણિક (identity matrix) ન હોય,તો $B$ તરીકે લઈ શકાય તેવો શ્રેણિક કયો છે?

આપેલ ગુણાકારની ગણતરી કરો: $\left[\begin{array}{cc}2 & 1 \\ 3 & 2 \\ -1 & 1\end{array}\right] \times \left[\begin{array}{ccc}1 & 0 & 1 \\ -1 & 2 & 1\end{array}\right]$

$A = [a_{ij}]_{m \times n}$ એ ચોરસ શ્રેણિક છે,જો

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