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What is the volume of the rectangular prism? 2 cm 2 cm 2 cm

What is the volume of the rectangular prism? 2 cm 2 cm 2 cm

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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1. Calculate the determinate of matrices X and Y. Use row addition and subtraction where it makes your calculations easier. 2. Verify that the following statement is true for these matrices: det (XY) = det(X) det(Y). 3. Verify that the following statement is true for these matrices: (XY)-1 = Y-!x-!. A suggestion: Use the previous result to simplify your calcula- tions. 4. Prove that the statement (XY)-1 = Y-lXx-1 is true for any two square matrices, where their inverses exist. 5. Let T be an unknown 3 by 2 matrix, where XT = Y Z. Solve this matrix equation for T, where possible.
Transcribed Image Text:1. Calculate the determinate of matrices X and Y. Use row addition and subtraction where it makes your calculations easier. 2. Verify that the following statement is true for these matrices: det (XY) = det(X) det(Y). 3. Verify that the following statement is true for these matrices: (XY)-1 = Y-!x-!. A suggestion: Use the previous result to simplify your calcula- tions. 4. Prove that the statement (XY)-1 = Y-lXx-1 is true for any two square matrices, where their inverses exist. 5. Let T be an unknown 3 by 2 matrix, where XT = Y Z. Solve this matrix equation for T, where possible.
C K -3 -7 13 B = 2 -5 1 14 -8 -2 -3 15 16 17 18 Question 2 -4 7 -9 19 ) -5 -3 Z = -4 9. 20 -9 -4 7 -2 -3 21 22 2 -5 8. 23 Y = -2 -5 1 24 -8 -2 -3 25 26 27 Worksheet 1 Worksheet 2 Ready O Type here to search B. A,
Transcribed Image Text:C K -3 -7 13 B = 2 -5 1 14 -8 -2 -3 15 16 17 18 Question 2 -4 7 -9 19 ) -5 -3 Z = -4 9. 20 -9 -4 7 -2 -3 21 22 2 -5 8. 23 Y = -2 -5 1 24 -8 -2 -3 25 26 27 Worksheet 1 Worksheet 2 Ready O Type here to search B. A,
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