4. Find the null space and column space of the matrices0-20-(1)-IN)--(3)0 2 2-401A: = 22B =and C=22²).102

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Answered: 4. Find the null space and column space…

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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docs.google.com Q Q5 // The Following Matrix Product is equal to bläi 10 -3 -2 3 -7 7 -5. -25 21 49 -46. (1) O -25 -21 -49 -46. ..
Suppose B and D are the following two bases for P2: B=|4x²-4x-2, ³-4x−2, 3x²-x, −3x−3] D= [−3x−3, x²+x+1» x²+1} Find the change matrix PD-B- 000 000 0 0 0 PD-B =
15. Let A, B, and C be square invertible matrices of the same size. Simplify the expression (C-³B²)-'c-'(A-1'B -3 -1 o AB • BA o AC о СА о СВ о ВС o None of the above.
Q3/create a matrix A and 1- add fourth & fifth rows equal to [1 2 3] by using [1 2 31 A= 4 5 6 [7 8 9 9] OA([4,5],:)-[1 2 3;1 2 3] O a([4,5],:)= [1 2 3;1 2 3] O A((4,5),:) [1 2 3;1 2 3] O a(,[4,5])=[1 2 3;1 2 3]
Show that if A is square matrix that satisfies the equation 2 A² - A - I = O, then its inverse is A-¹ = 2 A-I. The equation 24² - A - I = O implies that ---Select--- ✓. It follows that ---Select--- ✓. Notice the last equation means that ---Select--- multiplied with A is the identity, which is what we wanted to prove.
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Let A, B, C be 2×2 matrices where B = - /2 A, det A =2 and 8. Then det (8 A ³ (B -1)T c-2) = der (8 A3 (B-1)Tс-3) 3D det C= – O -2 4 O -4 2.

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4. Find the null space and column space of the matrices 0 1 1 -2 1 1 0 1 22-4 0 -1 0 1 -3 A = 1 2 3 -1 3 2 " B = -1 and C-(²2) 글). c = C= 1 0