Answer to Question #256606 in Linear Algebra for Anuj

Question

Which of the following functions has one-to-one correspondence:

(i) f: R->R defined as f(x) = 3x + 2

(ii) g: R -> defined as g(x) = X2 - 1

2. The square root of (2 - i) is...

3. Suppose lambda E C such that lambda(2+i, 3 - i) = (3 - i, 4 - 4i). Then...

(i) Lambda = (1 + i)

(ii) lambda = (2 - i)

(iii) lambda Does not exist

4. For a,b E R, let S be a subset of R2 defined as S = { (x,y) E R3 : x+y + axy = b }. Then S is a subspace of R2 if...

5. Suppose U = {(x,y,x+y,z,2y+z) E F5 : x, y, z E F }. Then a subspace W of F5 such that F5 = U O+ (plus sign inside the circle) W is ...

(i) W = { (0,0,a,b,c) E F5 : a,b,c E F}

(ii) W = { (0,0,a,0,b) E F5 : a, b E F}

6.. For a given function f: R->R defined as f(x) = 2x - 1, the image of set S = { x E R: x2 - 4 >= 0 } is...

Answer 1

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