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(1.) If \( T={ }_{B}^{A}\left(\begin{array}{cc}0.25 & 0.75 \\ 0.3 & \alpha\end{array}\right) \) is a transition probability matrix, then the value of \( \alpha \) is a) \( 0.5 \) b) \( 0.7 \) c) 0 /d) \( 0.6 \) 2. Rank of matrix \( \left(\begin{array}{cccc}1 & -1 & 2 & 0 \\ 0 & 2 & 0 & 3\end{array}\right) \) is a) 1 b) 0 c) 2 d) \( -1 \)
Is there any answer
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H.C.F of \( \left(x^{2}-3 x+2\right) \) and \( \left(x^{2}-4 x+3\right) \)
x2 −3x+2=x 2 −2x−x+2 x(x−2)−1(x−2)=(x−2)(x−1) Now x2 −4x+3=x 2 −3x−x+3 x(x−3)−1(x−3)=(x−3)(x−1) Thus, the only common factor is (x-1)
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