Recall that M2,2 is the vector space of real 2 x 2-matrices and P3 is the vector space of real polynomials ofdegree at most 3. Let T: M2,2 → P3 be a linear function satisfyingFind the following:( [([(a) T(b) T(c) T(d) T(e) T10000001==(12 7³])=17(D)--+= -4,T0T( )=-*- 3.3,T([i])=-4x². T([8])=3x² - 4x::

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Recall that M2,2 is the vector space of real 2 x 2-matrices and P3 is the vector space of real polynomials of degree at most 3. Let T : M₂,2 P3 be a linear function satisfying Find the following: ( (a) T (b) T (c) T (d) T (e) T 1 0 0 1 C −1 1 = || || → T ([1]) = T + ( [i !]) = = -4, T([:]) = -4x², T = -x - 3, ([i]). = = 3x³ - 4x.

Recall that M2,2 is the vector space of real 2 x 2-matrices and P3 is the vector space of real polynomials of degree at most 3. Let T : M₂,2 P3 be a linear function satisfying Find the following: ( (a) T (b) T (c) T (d) T (e) T 1 0 0 1 C −1 1 = || || → T ([1]) = T + ( [i !]) = = -4, T([:]) = -4x², T = -x - 3, ([i]). = = 3x³ - 4x.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.3: Properties Of Determinants

Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.

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