GATE Data Science and Artificial Intelligence Practice Quiz

Question 1

Let A be a 3×3 matrix with det(A)=0. Which statement must be true?

Accepted Answer

rank(A)<3

Question 2

If a square matrix A has an inverse, what is rank(A)?

Accepted Answer

rank(A) equals the order of A

Question 3

Let A be an n×n matrix satisfying A^2=A. If A is invertible, then A must be

Accepted Answer

the identity matrix

Question 4

Let A be a square matrix such that A^2 is invertible. Which conclusion follows?

Accepted Answer

A must be invertible

GATE Data Science and Artificial Intelligence — Mock tests