Let V be a vector space with dim (V)=4. Which of the following is true?A. For v1, v2 , v3 E V, span{v , V2 , V3 } = V.B. If v1 , v2 , V3 E V then S = {v1, vV2 , V1 + V2 + V3, v3} is a basis for V.O C. If S = {v1, V2, V3} is linearly independent then S is a basis for V.D. For v1, V2, v3 , V4 , V5 E V, {V1, V2 , V3 , V4 , V5 } is linearly dependent.E. For any vi, V2 , V3 , V4 E V, span{v1, v2, v3, V4 } = V.

Let V be a vector space with dim (V)=4. Which of the following is true? O A. For v1, v2, V3 E V, span{V1 , V2 , V3} = V. %3D B. If v1 , v2 , V3 € V then S = {v1, v2, vị + v2 + V3 , V3} is a basis for V. %3D O C. If S = {v1, V2 , V3} is linearly independent then S is a basis for V. D. For v1, v2 , V3, V4 , V5 E V, {v1, v2 , V3 , V4 , V5} is linearly dependent. E. For any vi , V2, V3 , V4 E V, span{v1, v2, v3, v4} = V.

Let V be a vector space with dim (V)=4. Which of the following is true? O A. For v1, v2, V3 E V, span{V1 , V2 , V3} = V. %3D B. If v1 , v2 , V3 € V then S = {v1, v2, vị + v2 + V3 , V3} is a basis for V. %3D O C. If S = {v1, V2 , V3} is linearly independent then S is a basis for V. D. For v1, v2 , V3, V4 , V5 E V, {v1, v2 , V3 , V4 , V5} is linearly dependent. E. For any vi , V2, V3 , V4 E V, span{v1, v2, v3, v4} = V.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 24EQ

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