(b) answer the following questions: 1. i...

(b) answer the following questions: 1. if `A=[[1,2,2],[2,1,2],[2,2,1]]`, then show that `A^2-4A-5I_3=0`

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If A=[(1,2,3),(3,-2,1),(4,2,1)] , then show that A^(3)-23A-40I=0

Show that A = [[1,2,2],[2,1,2],[2,2,1]] satrisfies the matrix equation A^2-4A-5I_3 =0

If A=([2,-1],[1,3]) then show that A^2-5A+7I_2=0 hence find A^(-1)

Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equation A^2-4A-5I_3=O and hence find A^(-1)

If A=(1)/(3){:[(-1,2,-2),(-2,1,2),(2,2,1)] show that "AA"^(T)=I .

If A=[(3,1),(-1,2)] , show that A^(2)-5A+7I=0 .

(b) answer any one question:1. A= [[8,0],[4,-2]] and B= [[2,-2],[-5,1]] , find another matrix X where 2A+3X=5B.

If A=1/3({:(-1,2,-2),(-2,1,2),(2,2,1):}) , show that "AA"^(T)=I_(3) .

answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then show that (1-x^2) (d^2y)/dx^2-3x dy/dx -y=0

Show that, the matrix A = [(1,2,2),(2,1,2),(2,2,1)] satisfies the equation A^(2) - 4A - 5I_(3) = 0 and hence find A^(-1) .

UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2019-EXERCISE

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(b) answer the following questions: 1. if A=[[1,2,2],[2,1,2],[2,2,1]],...
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Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...
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or, evaluate : int dx/((x-1)+ sqrt(x^2-1)
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