Show that, the non-zero elements of the inverse of a N*N diagonal matrix is just multiplicative inverse of the corresponding non-zero elements of the original matrix. [Hint: Use the identity that, for square matrix A, AA-¹ = I].
Show that, the non-zero elements of the inverse of a N*N diagonal matrix is just multiplicative inverse of the corresponding non-zero elements of the original matrix. [Hint: Use the identity that, for square matrix A, AA-¹ = I].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Show that, the non-zero elements of the inverse of a N*N diagonal matrix is just multiplicative
inverse of the corresponding non-zero elements of the original matrix. [Hint: Use the identity that,
for square matrix A, AA-¹ = I].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fe41692-731f-41a4-8b09-6fd0e8c2593a%2F75dfba12-235b-406d-9fe8-1d5c06753f43%2Ffdznbi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show that, the non-zero elements of the inverse of a N*N diagonal matrix is just multiplicative
inverse of the corresponding non-zero elements of the original matrix. [Hint: Use the identity that,
for square matrix A, AA-¹ = I].
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