what is the solution with steps for parts a,b,c? (a) Compute the determinant of theA||following 16 × 16 matrix A:0 0[1 0 000 00-1 0 0 0 0 0 0001000 0 00 0 0 2 0 0 0 00 0 0 0 10001 0 -1 10 0 0 00 1/2000 00 0 000 00 0 000 -11 0 0 0 0000001-11110OHO OLOLL0010111 -1-111-3417207HOOL TION NOO720220-272032117-720-178ITIO-22OOCH ZOO700-23007101-1040 -1 11 01-2-20-2-1-4 -2 0 -4610HOTZOT-2103302-711230107222601077-7-7---7-023-2-20-1 0 0 0 00 0 20000060 0 0 3 000 000 0 0 0 10000 00 0 0-1 0 0000 0 0010000002 -4 Hint: Don't do cofactor expansion, try blocking the matrix off.(b) Do the columns of the above matrix form a basis for R16? What about the rows, do therows of A form a basis for R16?(c) What is det(AT)?

If A and B are two diagonal matrix then they are commulative that is AB=BAanddetif PC= CPwhere…

Answered: b) Do the columns of the above matrix…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 4EQ: Compute the determinants in Exercises 1-6 using cofactor expansion along the first row and along the...

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b) Do the columns of the above matrix form a basis for R16? What about the rows, do the ows of A form a basis for R16? c) What is det(AT)?