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Rotation matrix and unitary similarity

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#linear-algebra #rotations #change-of-basis #unitary-matrices
22
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Simple question about changing bases in a vector space

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#linear-algebra #linear-transformations #change-of-basis
113
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Changing the basis to non standard in a linear transformation

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#linear-algebra #linear-transformations #change-of-basis
2.3k
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Why is this change of basis matrix not orthogonal?

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#linear-algebra #linear-transformations #change-of-basis
602
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What does $[T]_{\cal BB}$ mean?

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#matrices #matrix-equations #matrix-calculus #change-of-basis
346
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Effect of change of basis on metric representation

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#linear-algebra #metric-spaces #change-of-basis
84
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When can we say that a linear transformation is equivalent to a change of basis?

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#linear-algebra #change-of-basis
121
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Orthogonal to Orthonormal basis

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#linear-algebra #orthogonality #change-of-basis
66
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How to determine the Basis transformation with first finding eigenvector?

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#linear-algebra #matrices #eigenvalues-eigenvectors #change-of-basis #generalized-eigenvector
72
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How to find the coordinates of a matrix in a new basis?

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#linear-algebra #matrices #linear-transformations #change-of-basis
71
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Not Understanding the Key Step in a Linear Algebra Proof

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#linear-algebra #change-of-basis
88
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The above vectors is taken to be with respect to the standard basis for $\mathbb{R}^2$?

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#linear-algebra #vector-analysis #change-of-basis
56
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For an $n$-dimensional $K$-space $V$,$v\in V$,$x \in K^n$, prove that there's a basis $B$ such that the vector representation of $v$ wrt $B$ is $x$.

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#linear-algebra #systems-of-equations #change-of-basis
90
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Where do the basis vectors live in a matrix?

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#linear-algebra #matrices #change-of-basis
198
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Determining transformation matrix with respect to ordered (nonstandard) bases

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#linear-algebra #linear-transformations #change-of-basis

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