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CLOGE1-2: Consider the linear transformation 7:R°→ R²defined by X1 X1-X2+3x3 X2 X2 + 3x3 X3 which of the following statements is correct? a. nullity(T) = 2 b. 6. ker(T) = Span -3 1 3 c. ker(T) is the trivial vector space of R d. rank(T) =1 e. R(T) is R е.

CLOGE1-2: Consider the linear transformation 7:R°→ R²defined by X1 X1-X2+3x3 X2 X2 + 3x3 X3 which of the following statements is correct? a. nullity(T) = 2 b. 6. ker(T) = Span -3 1 3 c. ker(T) is the trivial vector space of R d. rank(T) =1 e. R(T) is R е.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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CLOGE1-2: Consider the linear transformation 7:R°→ R²defined by X1 X1-X2+3x3 X2 X2 + 3x3 X3 which of the following statements is correct? a. nullity(T) = 2 b. 6. ker(T) = Span -3 1 3 c. ker(T) is the trivial vector space of R d. rank(T) =1 e. R(T) is R е.
Transcribed Image Text:CLOGE1-2: Consider the linear transformation 7:R°→ R²defined by X1 X1-X2+3x3 X2 X2 + 3x3 X3 which of the following statements is correct? a. nullity(T) = 2 b. 6. ker(T) = Span -3 1 3 c. ker(T) is the trivial vector space of R d. rank(T) =1 e. R(T) is R е.
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