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Linear Algebra With Applications
Found in: Page 309
Linear Algebra With Applications

Linear Algebra With Applications

Book edition 5th
Author(s) Otto Bretscher
Pages 442 pages
ISBN 9780321796974

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Short Answer

If the determinant of a 2×2 matrix is 4, then the inequality |Av|4|v| must hold for all vectors v in .

Therefore, the given statement is true.

See the step by step solution

Step by Step Solution

 Step 1: Matrix Definition

Matrix is a set of numbers arranged in rows and columns so as to form a rectangular array.

The numbers are called the elements, or entries, of the matrix.

If there are m rows and n columns, the matrix is said to be an “m by n ” matrix, written “ m×n.”

Step 2: To check whether the given condition is true or false




det A = 4 , however, for


We have,


Therefore, the given statement is true.

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