 # Linear Algebra Questions

## Transcribed Text

Problem 1. Compute the following matrir multiplication. (3) Problem 2. In the following matrices multiplications, which expression make sense and which is not? Find out each size of the matrir and compute them if they make sense. Example Answer: 2 2 matrir multiply 3x matriz, 2 € 3, doesn't make sense. Example Answer: 2x2 matrir multiply 2> matrir, 2 2. this make sense. And final result would be 2x1 matriz. (and follow your computation) (0)(123)(s) (2) (:) (Hi) (3) (:(3)()) (4) () (11) (6) (7) ( ; ) : :) (8) Problem 3. A is matrir over R, and suppose we know that (i)-(:) and (i)-(€) (1) What is the size of A7 (2) Can you predict what is the value of the following expression? (1) (Hint: scalar multiplication) (3) Can you predict what is the value of the following expression? (i) (Hint: Distributive property for matrix multiplication) (4) Can you find the value of b,b,c such tht the 3x1 matrix (:) saitisfies

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