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Mathematics, 07.11.2019 02:31 st23pgardner

Each statement that follows is either true (in all cases) or false (for at least one example). if false, construct a specific example to show that the statement is not always true. such an example is called a counterexample. if true, give a justification. a. if v1, v2, v3, v4 are in r4 and v is not a linear combination of v1, v2, v4 then {v1, v2, v3, v4} is linearly independent. b. if v1, v2, v3, v4 are in r4 and {v1, v2, v3} is linearly dependent then {v1, v2, v3, v4} is also linearly dependent. c. if v1, v2, v3, v4 are linearly independent vectors in r4 then {v1, v2, v3} is also linearly independent.

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