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Midterm1[1] - My NAME IS SOLAR 10 Problem 1 2 3 4 5 Total...

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Unformatted text preview: My NAME IS' SOLAR 10: Problem 1 2 3 4 5 Total Extra Credit Score- Total Score 20 20 20 20 20 100 20 M A T 211 - Introduction to linear algebra, M idterm 1 Oct 14th, 2009 SHOW ALL WORK TO GET FULL CREDIT; A CORRECT ANSWER WITH INCORRECT OR NO JUSTIFicATION w ill not get credit. CROSS OUT THE WORK YOU DO NOT WANT '.f0 BE GRADED. (1) A linear transformation T: ]R5- - - t ]R4 is defined by (a) (2 points) Find the matrix of T. (b) (4 points) Find a basis for the image of T. (c) (4 points) Find a basis for the kernel of T. (d) (3 points) Determine the dimensions of the kernel and the image of T. (e)· (3 points) Determine the rank of the matrix of T. (f) (4 points) Find vectors that span the image of T but do not form a basis. T 3- I Q .-- 1 o f I 7 o - I ( 7 h 1M (T)- ~ ,[n + XL U I t KJ [11 + K~ [if t K) [~ j v- I VI.. VS' v, V1 \ / j v,... \/.• ' W .e lt~~Cc#'~ 1M 'i'~clc-t, V3:; 1 V.-t 3 V~. Vlt=-O v. tOht otis So A b~t'~ OJ CoSe- ~JundA. .1IJ) 'lAM . t T ) v .. {VI. IJ~. Vr) ("3 ll""cl v~ f 1 Ooooo~ o 0 0 - I o (...
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Midterm1[1] - My NAME IS SOLAR 10 Problem 1 2 3 4 5 Total...

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