Concept explainers
To calculate: The inverse of the matrix
Answer to Problem 87AYU
The inverse of the matrix
Explanation of Solution
Given information:
The matrix
Formula used:
For a matrix A, the inverse of a
Calculation:
Consider the matrix
For a matrix A, the inverse of a
Construct the augmented matrix,
Apply the transformation
Apply the transformation
Apply the transformation
Apply the transformation
Apply the transformation
Apply the transformation
Therefore, inverse of the matrix is
To calculate: The decoded matrix from the encrypted matrix
Answer to Problem 87AYU
The decoded matrixis
Explanation of Solution
Given information:
The matrix
Formula used:
When message matrix M is multiplied by key message K, the encrypted matrix E is obtained. That is
Calculation:
Consider the matrix
Recall that when message matrix M is multiplied by key message K, the encrypted matrix E is obtained. That is
Here, encrypted matrix
Therefore, message matrix is,
Therefore, decoded matrixis
To explain: The original message.
Answer to Problem 87AYU
The original message is MATH IS FUN.
Explanation of Solution
Given information:
The decoded matrixis
Thedecoded matrixis
So, the matrix is rewritten as,
Therefore, original message is MATH IS FUN.
Chapter 11 Solutions
Precalculus
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Precalculus
Calculus & Its Applications (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
University Calculus: Early Transcendentals (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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