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If A=[{:(1,-1),(-1,1):}] then the expres...

If `A=[{:(1,-1),(-1,1):}]` then the expression `A^(3)-2A^(2)` is

A

a null matrix

B

an identity matrix

C

equal to A

D

equal to -A

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Knowledge Check

  • If a, b, c be in G.P., then the expression a^(2)b^(2)c^(2) ((1)/(a^(3)) + (1)/(b^(3)) + (1)/(c^(3)))=

    A
    a + b + c
    B
    `a^(3) + b^(3) + c^(3)`
    C
    ab + bc + ca
    D
    none

  • If A = [(4,6,-1),(3,0,2),(1,-2,5)],B=[(2,4),(0,1),(-1,2)]"and C" [(3),(1),(2)] thenthe expression which is not defined is

    A
    `A^(2) +2 B - 2A `
    B
    `"CC"`
    C
    B'C
    D
    AB

  • HCF and LCM of two algebraic expressions are respectively (a + 1) and (a^(3) +a^(2)-a-1) . If one of the expression is a^(2)-1 , then what is the second expression?

    A
    `(a+1)`
    B
    `(a-1)^(2)`
    C
    `(a+1)^(2)`
    D
    `(a+1) (a-1)`

    • Similar Questions

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    factorize the given expression a^3+ab(1-2a)-2b^2

    If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

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    Solve the following expressions . (-1/(343))^(-2//3)

    If x = 16 , then find the value of the expression (x-1)/( x^(3//4) + x^(1//2) ) . ( x^(1//2) + x^(1//4) )/( x^(1//2) +1) . x^(1//4) .

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