ST228 Weeks 5 and 6
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15 Terms
What are orthonormal and orthogonal vectors?
What are symmetric, skew-symmetric and orthogonal matrices?
Properties of nxn symmetric matrices
What is the theorem of symmetric decomposition of matrices? prove it as well
What is the quadratic form of a matrix?
Prove that the quadratic form of a matrix is the same as its symmetric decomposition
What are positive and semi-positive definite matrices?
What does a matrix’s definiteness say about its eigenvalues? prove it
What is minor, principal minor and leading principal minor?
How to check if a matrix is pd or psd using its principal and leading principal minors?
What is a vector space?
What is a vector subspace?
What does it mean to span vectors and linearly independent and a basis?
