QUESTION 7 UTM UTM a) Given matrix A= 3 -2 2 UTM& UTM UTM UTM By using adjoint method, find the inverse of A. Hence, solve the system of linear equations AX = B where 2 -1 1 -() --() &UTM UTM X =y and B = UT 3. & UTM

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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QUESTION 5
UTM UTM
Let A(-1, 3, 3),
), B(4, –1, 0), C(5, 4, –7), and D(2, -1, –1). Find
i. the normal vector to the plane ABC.
ITM
UT
passes through point B.
UTM
ii. the equation of the plane ABD.
UTM U
6UTM UTM i UTM
UTM
QUESTION 6
UTM UTM 6
Find all the eigenvalues of the matrix P =
10 -2
0. 30
an eigenvector corresponding to the smallest eigenvalue of the matrix P.
2 0 1
Hence, obtain
UTM UTM UT
QUESTION 7
&UTM & UT
6 UTM
a) Given matrix A = 3 -2 2. By using adjoint method, find the
UTM UTM UTM
-1 1
inverse of A. Hence, solve the system of linear equations AX = B where
UTM UTM
X = | y and B =
UTM UTM UTM
8 UTM
3
6UTM
Transcribed Image Text:QUESTION 5 UTM UTM Let A(-1, 3, 3), ), B(4, –1, 0), C(5, 4, –7), and D(2, -1, –1). Find i. the normal vector to the plane ABC. ITM UT passes through point B. UTM ii. the equation of the plane ABD. UTM U 6UTM UTM i UTM UTM QUESTION 6 UTM UTM 6 Find all the eigenvalues of the matrix P = 10 -2 0. 30 an eigenvector corresponding to the smallest eigenvalue of the matrix P. 2 0 1 Hence, obtain UTM UTM UT QUESTION 7 &UTM & UT 6 UTM a) Given matrix A = 3 -2 2. By using adjoint method, find the UTM UTM UTM -1 1 inverse of A. Hence, solve the system of linear equations AX = B where UTM UTM X = | y and B = UTM UTM UTM 8 UTM 3 6UTM
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