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# Matrices Questions

Home > Technical Aptitude > Data Structures > Matrices > General Questions
NA
SHSTTON
24
Solv. Corr.
39
Solv. In. Corr.
63
Attempted
0 M:2 S
Avg. Time

11 / 16

Choose the correct option.

Which matrix has most of the elements (not all) as Zero?

AZero Matrix

BUnit Matrix

CSparse Matrix

DIdentity Matrix

Explanation:

Sparse Matrix is a matrix in which most of the elements are Zero. Identity Matrix is a matrix in which all principle diagonal elements are 1 and rest of the elements are Zero. Unit Matrix is also called Identity Matrix. Zero Matrix is a matrix in which all the elements are Zero.

Workspace

NA
SHSTTON
7
Solv. Corr.
45
Solv. In. Corr.
52
Attempted
0 M:0 S
Avg. Time

12 / 16

Choose the correct option.

What is the relation between Sparsity and Density of a matrix?

ASparsity = Density/Total number of elements

BSparsity = 1 + Density

CSparsity = Density*Total number of elements

DSparsity = 1 – Density

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.

Workspace

NA
SHSTTON
22
Solv. Corr.
23
Solv. In. Corr.
45
Attempted
0 M:22 S
Avg. Time

13 / 16

Choose the correct option.
Select the code snippet which performs matrix multiplication.(a and b are the two given matrices, resultant marix is c)

<b>I.</b> for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int k = 0; k < n; k++)
{
c[i][j] = c[i][j] + a[i][j] + b[k][j];
}
}
}

<b>II.</b> for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int k = 0; k < n; k++)
{
c[i][j] = c[i][j] * a[i][k] * b[k][j];
}
}
}

<b>III.</b> for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int k = 0; k < n; k++)
{
c[i][j] = c[i][j] + a[i][k] + b[k][j];
}
}
}

<b>IV.</b> for (int i = 0; i < n; i++)
{
for (int j = 0; j < n; j++)
{
for (int k = 0; k < n; k++)
{
c[i][j] = c[i][j] + a[i][k] * b[k][j];
}
}
}

AI

BII

CIII

DIV

Explanation:

The corresponding elements from the row and column are multiplied and a cumulative sum is formed.

Workspace

NA
SHSTTON
21
Solv. Corr.
40
Solv. In. Corr.
61
Attempted
0 M:0 S
Avg. Time

14 / 16

Choose the correct option.

The matrix contains m rows and n columns. The matrix is called Sparse Matrix if ________

ATotal number of Zero elements = m-n

BTotal number of Zero elements = m + n

CTotal number of Zero elements = m/n

DTotal number of Zero elements > (m*n)/2

Explanation:

For matrix to be Sparse Matrix, it should contain Zero elements more than the non-zero elements. Total elements of the given matrix is m*n. So if Total number of Zero elements > (m*n)/2, then the matrix is called Sparse Matrix.

Workspace

NA
SHSTTON
21
Solv. Corr.
29
Solv. In. Corr.
50
Attempted
0 M:18 S
Avg. Time

15 / 16

What does the following piece of code do?
for(int i = 0; i < row; i++)
{
for(int j = 0; j < column; j++)
{
if(i == j)
sum = sum + (array[i][j]);
}
}
System.out.println(sum);

ATranspose of a matrix

BTrace of a matrix

CSquare of a matrix

DNormal of a matrix

Explanation:

Trace of a matrix is the sum of the principal diagonal elements.

Workspace

NA
SHSTTON
32
Solv. Corr.
14
Solv. In. Corr.
46
Attempted
0 M:0 S
Avg. Time

16 / 16

Choose the correct option.

If row-major order is used, how is the following matrix stored in memory?

Babcdefghi

Dihgfedcba

Explanation:

It starts with the first element and continues in the same row until the end of row is reached and then proceeds with the next row. C follows row-major order.

Workspace

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