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  • Provide Solution For R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 11 Maths Textbook Solution.

Provide Solution For  R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions  Question 11 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (A).

Given: A=\left[\begin{array}{ll} 1 & a \\ 0 & 1 \end{array}\right]

Solution: A=\left[\begin{array}{ll} 1 & a \\ 0 & 1 \end{array}\right]

A^{n}=\left[\begin{array}{ll} 1 & a \\ 0 & 1 \end{array}\right] \times\left[\begin{array}{cc} 1 & a \\ 0 & 1 \end{array}\right] \times\left[\begin{array}{ll} 1 & a \\ 0 & 1 \end{array}\right] \ldots \mathrm{n} \text { times }                                                                            \{\text { where, } n \in N\}

A^{n}=\left[\begin{array}{cc} 1 & n a \\ 0 & 1 \end{array}\right]

So, the correct option is (A).

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