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For the orthogonal matrix A
Mark each of the following True or False.
___ a. All vectors in an orthogonal basis have length 1. ___ b. A square matrix is
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Melissa
1,124 views
Hi, I really need help with these True/False questions:
(a) If three vectors in R^3 are orthonormal then they form a basis in
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asked by
Matt
659 views
Let A be an orthogonal non-singular matrix of order 'n', then the determinant of matrix 'A-I', i.e., |A-I| (where I is identity
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asked by
Priyansh
643 views
Hello, how can I proof the next theorem?
I have a linear transformation T(X) that can be express as T(X)=AX and A is an
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asked by
Mery
463 views
construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.
Just write down a diagonal matrix with one zero
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asked by
Jeff
2,196 views
Use a calculator to find the inverse of the orthogonal matrix matrix Q=[ 0 0 1 ā1 0 0 0 ā1 0 ] and verify Property 1 above.
1 answer
asked by
waqas1
376 views
Diagonalize the given matrix and find an orthogonal matrix P such that Pā1AP is diagonal
-2 3 3 3 -2 3 3 3 -2
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asked by
Anonymous
577 views
Show that if x is a nonzero column vector in R^n, then the nxn matrix:
A = I - 2/||x||^2 * xx^T is orthogonal. Notation key:
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asked by
mathstudent
935 views
3. Suppose A is symmetric positive definite and Q is an orthogonal matrix (square with orthonormal columns). True or false (with
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michael
750 views
A matrix P \in \mathbb {R}^{d \times d} is orthogonal (sometimes referred to as a rotation matrix ) if P P^ T = P^ T P = I_ d.
1 answer
86 views