Question
For what value of k are the following vectors linearly independent?
Answer :
Word Count : 241
To determine the values of \( k \) for which the given vectors are linearly independent, we need to check when the determinant of the matrix formed by these vectors as columns is nonzero. ### Step 1: Form the Matrix _________ __________ _________ _____ ___ __________ _________ ________ ________ _______ ______ __________.
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To determine the values of \( k \) for which the given vectors are linearly independent, we need to check when the determinant of the matrix formed by these vectors as columns is nonzero. ### Step 1: Form the Matrix _________ __________ _________ _____ ___ __________ _________ ________ ________ _______ ______ __________.
___ ______ _______ ______ _____ _____ _________ ________.
_____ __________ ____ _______ _____ __________ ________ ____ ___ ___.
_________ _____ _________ ________ ________ ___ ______ ___ _____ _________.
_______ __________ _____ _______ ____.
_______ ________ ______ ___ _______ _____.
_______ _________ _______ __________ ________ _________ ____ __________ _____ ________ __________.
__________ __________ ____ ______ ____ __________.
_________ _____ ________ ___ _____ ______ __________ _________ _________ ____.
______ ___ _______ ________ ________ _____ ______.
_______ _____ ________ ______ _____.
_________ ____ ___ ____ ______ _________ ________ ________.
_______ ________ __________ ________ _________ __________ _____ ___.
__________ ____ _____ ________ _______ _____ _________ _____ _______ __________ __________ __________.
______ __________ _______ _____ _______ ______ ________.
____ ________ ________ ________ __________ ____.
______ ____ ___ _________ ________ ____ _____.
_____ ________ _____ ___ ______ _____ ____ ____ ______.
__________ _____ ______ _____ _______ _________ _______ ____ ______ _______.
_______ ___ ____ ___ _______ ____ _______ ________ ___.
___ _______ ___ _____ _________ _________ _________ ______ ______ _____ _________.
________ ______ _______ _______ ___ ___ _____.
________ _________ ___ ____ _________ _____ _________ _________ _____.
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________ _____ ______.
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