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If a matrix has orthogonal columns does it mean the matrix is orthogonal?

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If a matrix has orthogonal columns does it mean the matrix is orthogonal?

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What shape will an orthogonal matrix always be?

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What shape will an orthogonal matrix always be?

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What is the rank of a matrix limited by?

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What is the rank of a matrix limited by?

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What 2 properties must be satisfied for orthogonality?

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What 2 properties must be satisfied for orthogonality?

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The dimension of the kernel ker(A) must satisfy what bounds? (choose most restrictive)  Separate lower & upper bound with a comma. 

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The dimension of the kernel ker(A) must satisfy what bounds? (choose most restrictive)  Separate lower & upper bound with a comma. 

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ANSWER:

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If A = QR, where Q has orthonormal columns, then R = Q^TA

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If A = QR, where Q has orthonormal columns, then R = Q^TA

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ANSWER:

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ANSWER:

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STATION 2: Below, write the 3 steps need to compute an Orthogonal Matrix when given a span of vector(s):

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STATION 2: Below, write the 3 steps need to compute an Orthogonal Matrix when given a span of vector(s):

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The dimension of the image im(A) must satisfy what bounds? (choose most restrictive)  Separate lower & upper bound with a comma. 

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The dimension of the image im(A) must satisfy what bounds? (choose most restrictive)  Separate lower & upper bound with a comma. 

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ANSWER:

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STATION 1: Directions: Place the correct term under each definition.

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STATION 1: Directions: Place the correct term under each definition.