# All Educational Materials for MATH 2211 at Boston College (BC)

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## Quiz7S11mt210Sample2Ans

1 Page

31 Jan 2019

Let t : r3 r3 be the linear transformation de ned by (x1, x2, x3) 7 (x1 + x2 + x3, x1 x2 x3, x1 x2 + x3). A linear transformation t is invertible if an

View Document## Quiz2mt210Sample2Ans

1 Page

31 Jan 2019

Is b = and a3 = . 1. vector equations a linear combination of the vectors a1 = . To answer this question, we need to solve the vector equation x1a1 + x

View Document## Quiz11Spr11mt210Sample1Ans

2 Page

31 Jan 2019

T(a + b) = (a + b) (a + b)t. = a at + b bt. Thus, t is linear. (b) consider m2 2 with the standard basis: {[ 1 0. Let a = [ a b c d ] a at = [ so that

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Frequently-seen exam questions from 2014 - 2018.

## Quiz2mt210Sample2Ans

1 Page

31 Jan 2019

Is b = and a3 = . 1. vector equations a linear combination of the vectors a1 = . To answer this question, we need to solve the vector equation x1a1 + x

View Document## Quiz11Spr11mt210Sample1Ans

2 Page

31 Jan 2019

T(a + b) = (a + b) (a + b)t. = a at + b bt. Thus, t is linear. (b) consider m2 2 with the standard basis: {[ 1 0. Let a = [ a b c d ] a at = [ so that

View Document## Quiz7mt210SPR11Ans

1 Page

31 Jan 2019

Let t : r3 r3 be the linear transformation de ned by (x1, x2, x3) 7 (x1 + x2 + x3, x2 + x3, x3). If it is, nd the formula for (t s) 1. Answer (a) the s

View Document## Quiz6mt210Sample1Ans

1 Page

31 Jan 2019

Find the standard matrix of s t. Note that the domain of t is r2 and the codomain is r3. We need to consider the 2 2 identity matrix. T(e1) = (1, 0, 1)

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