6. Let T is a linear operator on a finite-dimensional vector space V. Prove that V R(T) + N(T) implies V = R(T) + N(T). Give a counter-example to this statement in the case when V is infinite-dimensional.

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A:

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A: Given set is We need to find the set in the interval form.

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A:

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Q: Plot the following six points: (- 5, 4) (1, 3) (- 2, – 1) (4, 0) (2, – 3) (0, - 2)

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Q: What point is two-thirds of the way from the origin to (5, -2)?

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Q: 19. For sets A, B show 1AUB = 1A V 1B, %3D and 1ANB = 1A ^ 1B.

A:

Q: Find the point - of the way from (-10, 10, -4) to (-8, 5, 10). 0. P= 0 0.

A: Topic = Geometry

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A:

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Q: Q3, Passes through (4,10) and Perendicular to the line 6X-34=5.

A: Hope you get it

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A: The given equations are x+2y=8          …12x+3y=10      …2

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Q: what are the

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Q: り Find L{

A: If L[f(t)]=F(s), then f(t) is called the inverse Laplace Transform of F(s). That is; f(t)=L-1[F(s)]…

Q: Solve the equation of the line that pass through A (1, 2, 3) and B (4, 5, 6).

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A:

Q: what is the sign for intersection?

A: To determine the sign of intersection.

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A: We have to find the line passing through two points.