ম্যাট্রিক্স এর যোগ, বিয়োগ ও গুণ
A=[2223]A=\left[\begin{matrix}2&2\\2&3\\\end{matrix}\right] A=[2223] হলে (Adj. of A) (A)=?(Adj.\ of\ A)\ (A)=? (Adj. of A) (A)=?
[2002]\left[\begin{matrix}2&0\\0&2\\\end{matrix}\right][2002]
[4004]\left[\begin{matrix}4&0\\0&4\\\end{matrix}\right][4004]
[0440]\left[\begin{matrix}0&4\\4&0\\\end{matrix}\right][0440]
[1001]\left[\begin{matrix}1&0\\0&1\\\end{matrix}\right][1001]
∣A∣=6−4=2 ; (Adj. of A) (A)=I∣A∣=[2002]|A|=6-4=2\ ;\ (Adj.\ of\ A)\ (A)=I|A|=\left[\begin{matrix}2&0\\0&2\\\end{matrix}\right]∣A∣=6−4=2 ; (Adj. of A) (A)=I∣A∣=[2002]
[x−y17x+y]=[8172] \left [ \begin{matrix} x - y & 1 \\ 7 & x + y \end{matrix} \right ] = \left [ \begin{matrix} 8 & 1 \\ 7 & 2 \end{matrix} \right ] [x−y71x+y]=[8712]
হলে (x,y) = ?
A=[21−1] A=\left[\begin{array}{lll}2 & 1 & -1\end{array}\right] A=[21−1] এবং B=[203] B=\left[\begin{array}{l}2 \\ 0 \\ 3\end{array}\right] B=203 হলে, BA= \mathrm{BA}= BA= ?
A=[22−1303232],B=[x1x2x3] \mathrm{A}=\left[\begin{array}{ccc}2 & 2 & -1 \\ 3 & 0 & 3 \\ 2 & 3 & 2\end{array}\right], \mathrm{B}=\left[\begin{array}{l}\mathrm{x}_{1} \\ \mathrm{x}_{2} \\ \mathrm{x}_{3}\end{array}\right] A=232203−132,B=x1x2x3 এবং C=[5711] \mathrm{C}=\left[\begin{array}{c}5 \\ 7 \\ 11\end{array}\right] C=5711
BA এর মান নির্ণয় কর, যদি A=(1i−i1)&B=(i−1−1−i) A=\left(\begin{array}{cc}1 & i \\ -i & 1\end{array}\right) \& B=\left(\begin{array}{cc}i & -1 \\ -1 & -i\end{array}\right) A=(1−ii1)&B=(i−1−1−i) এবং i=−1 i=\sqrt{-1} i=−1 হয়।