Question

Check if vectors are linearly independent using a calculator.

Options:
A. Linear Independence Checker
B. Vector Dependency Tool
C. Independence Test Evaluator
D. Dependent Vector Analyzer

Answer 1

To check if vectors D and E are linearly independent using a calculator, perform the determinant test.

Step-by-step explanation:

d. Using an appropriate test, show whether D and E are independent.

To check if vectors D and E are linearly independent using a calculator, we can perform a test called the determinant test. Here are the steps:

1. Create a matrix using the components of vector D and vector E. Each vector should represent a row in the matrix.
2. Calculate the determinant of the matrix.
3. If the determinant is not equal to zero, then vectors D and E are linearly independent. If the determinant is equal to zero, then vectors D and E are linearly dependent.

Using a calculator, you can input the components of the vectors and calculate the determinant to determine their linear independence.