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Worksheet: Transpose of a Matrix
Q1:
What operation must be performed on the matrix to get the matrix ? How does this operation affect the value of the determinant?
- AThe second matrix is the first matrix with the columns swapped. The determinant of the second matrix is times the determinant of the first matrix.
- BThe second matrix is the inverse of the first. The determinant of the second matrix is the reciprocal of the determinant of the first matrix.
- CThe second matrix is the first matrix with the rows swapped. The determinant of the second matrix is times the determinant of the first matrix.
- DThe second matrix is the transpose of the first. The determinant of the second matrix is the same as the determinant of the first matrix.
- EThe second matrix is the inverse of the first. The determinant of the second matrix is the same as the determinant of the first matrix.
Q2:
Consider the given matrices. Is it true that ?
- Ayes
- Bno
Q3:
If is a matrix of order , then what is the order of the matrix ?
- A
- B
- C
- D
Q4:
If and , what is ?
- A
- B
- C
- D
Q5:
Given that what is ?
- A
- B
- C
- D
Q6:
Given that determine the value of .
- A20
- B8
- C
- D0
Q7:
Find the transpose of the matrix .
- A
- B
- C
- D
Q8:
Find the transpose of the matrix .
- A
- B
- C
- D
Q9:
Find the transpose of the matrix .
- A
- B
- C
- D
Q10:
Find the transpose of the matrix .
- A
- B
- C
- D
Q11:
Give the following matrix, find .
- A
- B
- C
- D
Q12:
Given the shown matrices, determine whether .
- Ayes
- Bno