Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  EAMCET  >>  Mathematics
0 votes

If I is the identify matrix of order 2 and $A= \begin {bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$, then for $ n \geq 1$, mathematical induction gives

\[\begin {array} {1 1} (a)\; A^n=nA-(n-1)I & \quad (b)\;A^n=nA+(n-1)I \\ (c)\;A^n=2^n A -(n+1)I & \quad (d)\;A^n=2^{n-1}A-(n-1)I \end {array}\]
Can you answer this question?

1 Answer

0 votes
$(a)\; A^n=nA-(n-1)I$
answered Nov 7, 2013 by pady_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, AIPMT Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App