Important Questions of Matrices Mathematics | Zigya

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41.

Let A = ahghbfgfc and B = xyz then what  is AB = ?

  • ax + hy + gzyz

  • a + b

  • ax + hy + gzhx + by + fzgx + fy +cz

  • ax + hy +gzhz + by + fzgx + fy + cz


42.

For how many values of k, is the matrix 0k4 - k0 - 5 - kk- 1

singular ?

  • only one

  • Only two

  • Only three

  • Infinite


43.

If matrix 1 - ii - i1 - i where i = - 1then which one of the following is correct ?

  • A is hermitian

  • A is skew-hermitian

  • AT + A is hermitian

  • AT +A is skew-hermitian


44.

If A is a matrix of order 3 × 5 and B is a matrix of order 5 × 3, then the order of AB and BA will respectively be

  • 3 × 3 and 3 × 3

  • 3 × 5 and 5 × 3

  • 3 × 3 and 5 × 5

  • 5 × 3 and 3 × 5


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45.

Under which condition, are the points (a, b), (c, d) and (a – c, b d) collinear ?

  • ab = cd

  • ac = bd

  • ad = bc

  • abc = d


46.

Consider the following in respect of a non-singular matrix of order

1) A (adj A) = (adj A) A

2) |adj A| = |A|

Which of the above statements is/are correct ?

  • 1 only

  • 2 only

  • Both 1 and 2

  • Neither 1 nor 2


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