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  • Question 1
    5 / -1

    The sum and product of matrices A and B exist. Which of the following implications are necessarily true?

    I. A and B are square matrices of same order.

    II. A and B are non-singular matrices.

    Select the correct answer using the code give below.

  • Question 2
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    If ABT is defined as a square matrix then what is the order of the matrix B, where matrix A has order 2 × 3.

  • Question 3
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    If A=[cos2θsin2θsin2θcos2θ] and A + AT = I

    Where I is the unit matrix of 2 × 2 & AT is the transpose of A, then the value of θ is equal to ?

  • Question 4
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    From the matrix equation AB = AC, where A, B, C are the square matrices of same order, we can conclude B = C provided

  • Question 5
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    If A=[12 34] and B=[a0 0b], where a, b and natural numbers, then which one of the following is correct ?

  • Question 6
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    Consider two matrices M1 and M2 with M1*M2 = 0 and M1 is non singular. Then which of the following is true?

  • Question 7
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    If A is a square matrix such that A2 = I, then A3 + (A + I)2 - 9A - I- A2 is

  • Question 8
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    For matrices of the same dimension M, N, and scalar c, which one of these properties DOES NOT ALWAYS hold?

  • Question 9
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    If A=[2312]=12(P+Q) where P is symmetric and Q is skew symmetric matrix then P and Q are ?

  • Question 10
    5 / -1

    If A, B, C are square matrices of the same order, then which of the following is true?

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