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# MAT214 Written Homework

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## Question:

(a) For what values of a does the matrix A have rank less than 3 What is its rank in those cases.(b) (5 points) Find a value of the scalar a and a vector ~b ∈ R 3
such that the equation
A~x = ~b

You are also given that one of them is a rotation, one is a reflection about a line (passing through the origin) and one is an orthogonal projection. Being the resident linear algebra detective, it is your job to find out which one is which, and deduce as much about them as possible.What can you infer at this point and why?
(b) You find out next that What can you infer now and why? Be as detailed as is possible. (c) Finally, you find out that.Using this and all of the information above, find TRUE or FALSE? Justify your answers.(a) There exists a 4 × 3 matrix A of rank 3.

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My Assignment Help (2021) Written Homework [Online]. Available from: https://myassignmenthelp.com/free-samples/mat214-written-homework/orthogonal-projection.html
[Accessed 22 April 2021].

My Assignment Help. 'Written Homework' (My Assignment Help, 2021) <https://myassignmenthelp.com/free-samples/mat214-written-homework/orthogonal-projection.html> accessed 22 April 2021.

My Assignment Help. Written Homework [Internet]. My Assignment Help. 2021 [cited 22 April 2021]. Available from: https://myassignmenthelp.com/free-samples/mat214-written-homework/orthogonal-projection.html.

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