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Linear Algebra With Applications
Found in: Page 176
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

Find the basis of all 2X2 diagonal matrix, and determine its dimension.

The dimension of a 2X2 diagonal matrix is 2 which is spanned by Span1000,0001..

See the step by step solution

Step by Step Solution

Step 1: Determine the matrix.

Consider the matrix A=a00b where and are real.

Simplify the equation A=a00bas follows.


Step 2: Find the basis of each required space

In the matrix,1000 and 0001 are linear independent.

Therefore, the matrix A is spanned by Span1000,0001.

Hence, the dimension of A is 2 and spanned by Span1000,0001.

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