Matrix Types and Determinants

The video tutorial explains how to find the determinant of triangular matrices. It defines upper and lower triangular matrices and demonstrates how to calculate the determinant by multiplying the entries along the main diagonal. The tutorial provides examples with matrices A, B, and C, showing the step-by-step calculation of their determinants.

What is an upper triangular matrix?

• A matrix with all entries above the main diagonal as zero

• A matrix with all entries as non-zero

• A matrix with all entries below the main diagonal as zero

• A matrix with all entries on the main diagonal as zero

How is the determinant of a triangular matrix calculated?

• By dividing the entries along the main diagonal

• By subtracting the entries along the main diagonal

• By multiplying the entries along the main diagonal

• By adding all the entries

What is the determinant of matrix A?

• 16

• 0

• 8

• -8

Which type of matrix is matrix A?

• Lower triangular

• Diagonal

• Identity

• Upper triangular

What is the determinant of matrix B?

• 60

• 120

• 90

• 30

Which type of matrix is matrix B?

• Upper triangular

• Lower triangular

• Diagonal

• Symmetric

What is the determinant of matrix C?

• 20

• 50

• 30

• 40

Which type of matrix is matrix C?

• Lower triangular

• Upper triangular

• Skew-symmetric

• Diagonal

What is the product of the entries along the main diagonal of matrix C?

• 10

• 40

• 20

• 30