In matrix addition, corresponding matrices are added. What is the result of adding the matrices:$$ begin{bmatrix} 1 & 4 2 & 3 end{bmatrix}, begin{bmatrix} 2 & 3 5 & 1 end{bmatrix}$$

$$ begin{bmatrix} 3 & 7 7 & 4 end{bmatrix}$$

$$ begin{bmatrix} 3 & 7 4 & 7 end{bmatrix}$$

$$ begin{bmatrix} 1 & 3 4 & 2 end{bmatrix}$$

$$ begin{bmatrix} 2 & 5 3 & 1 end{bmatrix}$$

Find the Inverse of the Matrix :$$ A = begin{bmatrix} 5 & 4 6 & 8 end{bmatrix}$$

$$ A = begin{bmatrix} 0.5 & -0.25 -0.375 & 0.3125 end{bmatrix}$$

$$ A = begin{bmatrix} 5 & 6 4 & 8 end{bmatrix}$$

$$ A = begin{bmatrix} 8 & 6 4 & 5 end{bmatrix}$$

$$ A = begin{bmatrix} 0.5 & -0.375 -0.25 & 0.3125 end{bmatrix}$$

Matrices

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Question 1

What is the order of a matrix with 3 rows and 4 columns?

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Question 2

In matrix addition, corresponding matrices are added. What is the result of adding the matrices:

[Tex]\begin{bmatrix} 1 & 4 \\ 2 & 3 \end{bmatrix}, \ \begin{bmatrix} 2 & 3 \\ 5 & 1 \end{bmatrix}[/Tex]

[Tex]\begin{bmatrix} 3 & 7 \\ 4 & 7 \end{bmatrix}[/Tex]
[Tex]\begin{bmatrix} 3 & 7 \\ 7 & 4 \end{bmatrix}[/Tex]
[Tex]\begin{bmatrix} 1 & 3 \\ 4 & 2 \end{bmatrix}[/Tex]
[Tex]\begin{bmatrix} 2 & 5 \\ 3 & 1 \end{bmatrix}[/Tex]

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Question 3

Find the Inverse of the Matrix :

[Tex] A = \begin{bmatrix} 5 & 4 \\ 6 & 8 \\ \end{bmatrix}[/Tex]

[Tex] A = \begin{bmatrix} 5 & 6 \\ 4 & 8 \\ \end{bmatrix}[/Tex]
[Tex] A = \begin{bmatrix} 8 & 6 \\ 4 & 5 \\ \end{bmatrix}[/Tex]
[Tex] A = \begin{bmatrix} 0.5 & -0.25 \\ -0.375 & 0.3125 \\ \end{bmatrix}[/Tex]
[Tex] A = \begin{bmatrix} 0.5 & -0.375 \\ -0.25 & 0.3125 \\ \end{bmatrix}[/Tex]

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Question 4

Let A and B be n × n matrices where A is invertible and B is singular. Which of the following statements is always true?

A + B is invertible.
AB is singular.
B² is singular.
A⁻¹B is invertible.

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Question 5

Which of the following describes a matrix that contains only one row and any number of columns?

Column Matrix
Row Matrix
Square Matrix
Diagonal Matrix

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Question 6

What is the characteristic of a diagonal matrix?

All elements are non-zero.
All elements are zero except the diagonal.
The number of rows and columns are unequal.
It contains only one column.

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Question 7

In which type of matrix are all diagonal elements equal to one, while all other elements are zero?

Scalar Matrix
Identity Matrix
Null Matrix
Upper Triangular Matrix

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Question 8

Which type of matrix is defined as having a determinant equal to zero?

Non-Singular Matrix
Singular Matrix
Orthogonal Matrix
Symmetric Matrix

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Question 9

Which of the following matrices has the property that its transpose is equal to its inverse ( A^-1 = A^T) ?

Skew Symmetric Matrix
Orthogonal Matrix
Diagonal Matrix
Triangular Matrix

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Question 10

Which type of matrix has all its entries equal to zero?

Null Matrix
Identity Matrix
Diagonal Matrix
Singular Matrix

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