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4. A = 4 3 5. C= 2 26) 3 D= B= 1 7 -3 - 5 Reminder: A matrix + its additive inverse = the additive identity matrix A matrix X its multiplicative inverse = the multiplicative identity matrix %3D a) Find the additive identity matrix of matrix A b) Is B the additive inverse matrix of A? Show that if you add A+ B you get the identity matrix from part a) as your answer matrix. (Does A+ B= identity matrix of addition?) %3D c) Find the multiplicative identity matrix of C. d) Is D the multiplicative inverse matrix of C? Show that C XD=the identity matrix of multiplication from part c). (Does CXD identity matrix of multiplication?)

4. A = 4 3 5. C= 2 26) 3 D= B= 1 7 -3 - 5 Reminder: A matrix + its additive inverse = the additive identity matrix A matrix X its multiplicative inverse = the multiplicative identity matrix %3D a) Find the additive identity matrix of matrix A b) Is B the additive inverse matrix of A? Show that if you add A+ B you get the identity matrix from part a) as your answer matrix. (Does A+ B= identity matrix of addition?) %3D c) Find the multiplicative identity matrix of C. d) Is D the multiplicative inverse matrix of C? Show that C XD=the identity matrix of multiplication from part c). (Does CXD identity matrix of multiplication?)

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 83E
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4 A = 3 26) 3 D= 27 C= - 3 -7 -5 Reminder: A matrix + its additive inverse = the additive identity matrix A matrix X its multiplicative inverse = the multiplicative identity matrix a) Find the additive identity matrix of matrix A b) Is B the additive inverse matrix of A? Show that if you add A+B you get the identity matrix from part a) as your answer matrix. (Does A+B=identity matrix of addition?) c) Find the multiplicative identity matrix of C. d) Is D the multiplicative inverse matrix of C? Show that CXD=the identity matrix of multiplication from part c). (Does C XD=identity matrix of multiplication?)
Transcribed Image Text:4 A = 3 26) 3 D= 27 C= - 3 -7 -5 Reminder: A matrix + its additive inverse = the additive identity matrix A matrix X its multiplicative inverse = the multiplicative identity matrix a) Find the additive identity matrix of matrix A b) Is B the additive inverse matrix of A? Show that if you add A+B you get the identity matrix from part a) as your answer matrix. (Does A+B=identity matrix of addition?) c) Find the multiplicative identity matrix of C. d) Is D the multiplicative inverse matrix of C? Show that CXD=the identity matrix of multiplication from part c). (Does C XD=identity matrix of multiplication?)
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