Evaluate the absolute value of a vector.

Published on November 6, 2024

Linear-Algebra

The magnitude of the given row vector is calculated, resulting in 3.

Question

Answer

We are asked to evaluate the expression:
This looks like the notation for the determinant of a matrix. However, the given matrix is a matrix (a row vector). Determinants are only defined for square matrices.
If the vertical bars represent the magnitude of a vector, then we have
If the vertical bars represent the absolute value of a scalar, then we have
If the vertical bars represent the determinant of a matrix, then the expression is undefined since the matrix is not square.
Since the image provided is a row vector, it is more likely that the question is asking for the magnitude of the vector. Thus, the answer is 3.
Final Answer: The final answer is