University:
California State University, Northridge
Course:
COMP 222 | Computer Organization
Academic year:

2023
Views:

57

Pages:

2
Author:

anon

4040DATE: 10/26/2022NAME:Quiz 2: Chapter 3 (Math 262)Please show all your work, unless explicitly instructed not to do so. Please ask if you are notsure of anything on the exam. You have 25 minutes.1. Let T:R R be defined byX1 X2 I1-2I2-I3+I4 = 2137 4 X4 I3X4and you may assumeHillRREF[:!!!!(a) Find a basis for the kernel of T.1013 0000 :xqbasis for kernel of T= {-22 is a basis for im(T).1Find the coordinate vector of4with respect to the basis 2.71-2/1/R-R24-16 7 =I22R-R310-5/5R-R3000 2. If it is TRUE, you do not need to give an explanation. If it is say FALSE why it is false.U = x-3y y 1 |,, E R subspaceis a of R3.U ={[i]]whenx=0,4=0TRUEFALSEo & U(b) L x-3y is a linear transformation L:R2->R0->TRUEFALSEis a linearly independent set in R3.3TRUEFALSE0 0 0 1spans R3TRUEFALSE2

COMP 222 Quiz 2: Computer Org, MIPS

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