Let a and b be two real numbers such tha...

Let `a` and `b` be two real numbers such that `a > 1, b > 1.` If `A=[(a,0), (0,b)]` , then `lim_(n to oo) A^(-n)` is
a. unit matrix
b. null matrix
c. `2l`
d. none of these

Similar Questions

Explore conceptually related problems

If A = [(1,0,0),(0,1,0),(a,b,-1)] , show that A^(2) is a unit matrix.

If A = {: [ ( 1,0,0) , ( 0,1,0) , ( a,b,-1)]:} show that A^(2) is a unit matrix .

The matrix A=[-5-8 0 3 5 0 1 2-] is a. idempotent matrix b. involutory matrix c. nilpotent matrix d. none of these

If Z is an idempotent matrix, then (I+Z)^n I+2^n Z b. I+(2^n-1)Z c. I-(2^n-1)Z d. none of these

The inverse of a diagonal matrix is a. a diagonal matrix b. a skew symmetric matrix c. a symmetric matrix d. none of these

("lim")_(xvec0)(sinx^n)/((sinx)^m),(m

("lim")_(xvec0)1/xcos^(-1)((1-x^2)/(1+x^2)) is equal to (a)1 (b) 0 (c) 2 (d) none of these

If A=[a b c d] (where b c!=0 ) satisfies the equations x^2+k=0,t h e n a+d=0 b. K=-|A| c. k=|A| d. none of these

If agt0, b gt0 than lim_(nrarroo) ((a-1+b^((1)/(n)))/(a))^(n)=