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⇱ Quiz about Matrix DSA self paced Quiz

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Question 1

Two matrices having dimensions ( r1 * c1 ) and ( r2 * c2 ) can be multiplied only if,

  • c1 = c2

  • c1 = r2

  • r1 = c2

  • r1 = r2

Question 2

If eigenvalues of matrix A are 2, 3 what are the eigenvalues of A2 ?

  • 4, 6

  • 4, 9

  • 2, 3

  • 6, 9

Question 3

If A is a real square matrix such that

AT = −A , then which is always true?

  • A is symmetric

  • Diagonal elements of A are zero

  • A is invertible

  • A has only real eigenvalues

Question 4

If A is an invertible matrix, which is guaranteed to be invertible?

  • A + AT

  • A2

  • A - I

  • AT - A

Question 5

Is matrix multiplication commutative?

  • Yes, always

  • No, matrix multiplication is not commutative

  • Only for square matrices

  • Only for identity matrices

Question 6

If eigenvalues of a matrix A are 2, 3, 4 then the trace of A is:

  • 9

  • 6

  • 2 x 3 x 4

  • Cannot be determined

Question 7

What is the dimension of the matrix which is found after multiplying two matrices of dimensions ( r1 * c1 ) and ( r2 * c2 ) ?

  • r1 * c2

  • c1 * r2

  • r1 * r2

  • c1 * c2

Question 8

What is the output matrix after multiplying given 2 matrices?

👁 Image
 
  • 12
    34
    56
  • 14
    916
    2536

  • The matrices cannot be multiplied

  • None of the above

Question 9

What is the output of, 

👁 Image
 
  • 2228
    4964
  • 2128
    4556

  • The matrices cannot be multiplied

  • None of the above

Question 10

Does the multiplication of 3 matrices of ( 3 x 3 ) follow the associative property? 

  • No, they do not follow associativity

  • Yes, multiplication of these matrices follow associative property

  • It depends on the matrix given.

  • There is no such property

There are 10 questions to complete.

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