Concept explainers
The resultant matrix by performing the indicated matrix operations.
Answer to Problem 1CR
Solution:
Explanation of Solution
Given information:
Calculation:
If
Thus,
Now, simplify
Definition of scalar multiplication:
If
Thus,
Therefore,
Now, both the matrices are of the same size, to add them add their corresponding entries.
Definition of matrix addition:
If
That is,
Therefore,
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Chapter 2 Solutions
Elementary Linear Algebra (MindTap Course List)
- Proof Prove that if A and B are similar matrices and A is nonsingular, then B is also nonsingular and A1 and B1 are similar matrices.arrow_forwardDetermine Whether Two Matrices Are Similar In Exercises 21-24, determine whether the matrices are similar. If they are, find a matrix P such that A=P1BP. A=[100020002],B=[133353331]arrow_forwardNoncommutativity of Matrix Multiplication In Exercises 25 and 26, show that AB and BA are not equal for the given matrices. A=-2103, B=40-12arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning