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Q1: Show that A × Adj(A) = Adj(A) × A = det(A) XI -10 3 Q2: Given A = 1 3 4, compute the inverse using formula 1. 3 1-2 Q 3: Given three points, (7, 8, 9), (8, 10, z), and (2, 4, 6), find the z- coordinate of the second point such that they will be laid in the same plane. 17 10 101 Q 4: Is the matrix M = 4 3 5 singular? 3 2 Q5: Compute the expression det(35)+det(Min33(S)) + 2tr(S)+det(S¹) [1-1 5 where, S = 3 2 lo 2 3.

Q1: Show that A × Adj(A) = Adj(A) × A = det(A) XI -10 3 Q2: Given A = 1 3 4, compute the inverse using formula 1. 3 1-2 Q 3: Given three points, (7, 8, 9), (8, 10, z), and (2, 4, 6), find the z- coordinate of the second point such that they will be laid in the same plane. 17 10 101 Q 4: Is the matrix M = 4 3 5 singular? 3 2 Q5: Compute the expression det(35)+det(Min33(S)) + 2tr(S)+det(S¹) [1-1 5 where, S = 3 2 lo 2 3.

Advanced Engineering Mathematics
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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13:44 Y M X lll a 87 Home Work-1.pdf Engineering Analysis 1 Home Work 1 14/3/2021 Q 1: Show that Ax Adj(A) = Adj(A) x A = det(A) x I -1 3 Q 2: Given A =| 1 3 4 , compute the inverse using formula 1. 13 1 -2 Q 3: Given three points, (7, 8, 9), (8, 10, z), and (2, 4, 6), find the z- coordinate of the second point such that they will be laid in the same plane. 17 10 10 Q 4: Is the matrix M = 4 3 5 singular? 3 2 Q 5: Compute the expression det(35) + det(Minz3(S) + 2tr(S) + det(S") [1 -1 5 where, S = 3 -4 3 2
Transcribed Image Text:13:44 Y M X lll a 87 Home Work-1.pdf Engineering Analysis 1 Home Work 1 14/3/2021 Q 1: Show that Ax Adj(A) = Adj(A) x A = det(A) x I -1 3 Q 2: Given A =| 1 3 4 , compute the inverse using formula 1. 13 1 -2 Q 3: Given three points, (7, 8, 9), (8, 10, z), and (2, 4, 6), find the z- coordinate of the second point such that they will be laid in the same plane. 17 10 10 Q 4: Is the matrix M = 4 3 5 singular? 3 2 Q 5: Compute the expression det(35) + det(Minz3(S) + 2tr(S) + det(S") [1 -1 5 where, S = 3 -4 3 2
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