PROBLEMS An n × n matrix A is called orthogonal if A T = A − 1 . For problems 27 − 30 , show that the given matrices are orthogonal. A = [ cos α sin α − sin α cos α ] .
PROBLEMS An n × n matrix A is called orthogonal if A T = A − 1 . For problems 27 − 30 , show that the given matrices are orthogonal. A = [ cos α sin α − sin α cos α ] .
Solution Summary: The author explains that the given matrix A is orthogonal if AAT=I_n or,
1. If y = (x + 1/x) (2x-3, then dy/dx will be ?
2. If matrix A is (2 5)
(3 4)
and f (x) = x2 +4 , what is the answer to f (A)?
Solve the given matrix problems below:
A. det (G^-1) + det (A^-1)
B. {(A+C)^T × E^T}
Kindly answer A and B fast thank you.
Problem 1: Consider the following two square matrices
A=[2345], B=[5−32−6]
Find A + B and A-2B
Find the products AB and BA. Is AB = BA, why or why not?
Is A a singular matrix, why or why not?
Problem 2: Find the determinant of A, that is |A|, if A=⎡⎢⎣230−15−3042⎤⎥⎦Problem 3: Find the determinant of AT, that is |AT|, using Matrix A defined in problem 2 aboveProblem 4: Find the inverse of a 2 X 2 matrix B defined in problem 1 above
Chapter 2 Solutions
Differential Equations and Linear Algebra (4th Edition)
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