I `A=[(0,5),(0,0)]` and `f(x)=1+x+x^2+…+^16, then f(A)=` (A) 0 (B) `[(1,5),(0,1)]` (C) `[(1,5),(0,0)]` (D) `[(0,5),(1,1)]`

If f(x)=x^2+4x-5 and A=[(1,2),(4,-3)] then f(A)= (A) [(0,-4),(8,8)] (B) [(0,-4),(8,8)] (C) [(1,1),(1,0)] (D) [(8,4),(8,0)]

If f'(x)=x^2+5 and f(0)=-1 then f(x)=

If f(x)=x^2-5x+6. Find f(A),if A=[(2,0,1),(2,1,3),(1,-1,0)] .

If A = [(2,0,1),(2,1,3),(-1,-1,0)] and f(x) = x^2 - 5x+6 is any polynomial , then f(A) =

If A is a square matrix of any order then |A-x|=0 is called the chracteristic equation of matrix A and every square matrix satisfies its chatacteristic equation. For example if A=[(1,2),(1,5)], Then [(A-xI)], = [(1,2),(1,5)]-[(x,0),(0,x)]=[(1-x,2),(1-0,5-x)]=[(1-x,2),(1,5-x)] Characteristic equation of matrix A is |(1-x,2),(1,5-x)|=0 or (1-x)(5-x)(0-2)=0 or x^2-6x+3=0 Matrix A will satisfy this equation ie. A^2-6A+3I=0 A^-1 can be determined by multiplying both sides of this equation let A=[(1,0,0),(0,1,1),(1,-2,4)] On the basis for above information answer the following questions:Sum of elements of A^-1 is (A) 2 (B) -2 (C) 6 (D) none of these

If A is a square matrix of any order then |A-x|=0 is called the characteristic equation of matrix A and every square matrix satisfies its characteristic equation. For example if A=[(1,2),(1,5)], Then [(A-xI)], = [(1,2),(1,5)]-[(x,0),(0,x)]=[(1-x,2),(1-0,5-u)]=[(1-x,2),(1,5-x)] Characteristic equation of matri A is |(1-x,2),(1,5-x)|=0 or (1-x)(5-x0-2=0 or x^2-6x+3=0 Matrix A will satisfy this equation ie. A^2-6A+3I=0 A^-1 can be determined by multiplying both sides of this equation let A=[(1,0,0),(0,1,1),(1,-2,4)] ON the basis fo above information answer the following questions: |A^-1|= (A) 6 (B) 1/6 (C) 12 (D) none of these

Let A=[[5,0-1,0]] and B=[[0,1-1,0]]. If 4A+5B-C=0 then C is (A) [[5,25-1,0]] (B) [[2,5-1,0]] (C) [[5,-10,25]] (D) none of these

If the function f: R -{1,-1} to A definded by f(x)=(x^(2))/(1-x^(2)) , is surjective, then A is equal to (A) R-{-1} (B) [0,oo) (C) R-[-1,0) (D) R-(-1,0)

If f(x)=(x+1)/((x-2)(x-5)) , then in [0, 1]