Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C?
a) Identity matrix
b) Inverse of A
c) Square of A
d) Transpose of A
Explanation: Any square matrix when multiplied with its inverse gives the identity matrix. Note that non square matrices are not invertible.
Which matrix has most of the elements (not all) as Zero?
a) Identity Matrix
b) Unit Matrix
c) Sparse Matrix
d) Zero Matrix
What is the relation between Sparsity and Density of a matrix?
a) Sparsity = 1 – Density
b) Sparsity = 1 + Density
c) Sparsity = Density*Total number of elements
d) Sparsity = Density/Total number of elements
Explanation: Sparsity of a matrix is equal to 1 minus Density of the matrix. The Sparsity of matrix is defined as the total number of Zero Valued elements divided total number of elements.
Who coined the term Sparse Matrix?
a) Harry Markowitz
b) James Sylvester
c) Chris Messina
d) Arthur Cayley
Explanation: Harry Markowitz coined the term Sparse Matrix. James Sylvester coined the term Matrix. Chris Messina coined the term Hashtag and Arthur Cayley developed the algebraic aspects of a matrix.
Which of the following is not the method to represent Sparse Matrix?
a) Dictionary of Keys
b) Linked List
c) Array
d) Heap
Is Sparse Matrix also known as Dense Matrix?
a) True
b) False
Explanation: Sparse Matrix is a matrix with most of the elements as Zero elements while Dense Matrix is a matrix with most of the elements as Non-Zero element.
