Find the value of m such that the vector (𝑚, 7, -4) is a linear combination of vectors (-2, 2, 1) 𝑎𝑛𝑑 (2, 1, -2)

Question

Find the value of m such that the vector (𝑚, 7, -4) is a linear combination of vectors (-2, 2, 1) 𝑎𝑛𝑑 (2, 1, -2)
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Solution 1

To find the value of m such that the vector (m, 7, -4) is a linear combination of vectors (-2, 2, 1) and (2, 1, -2), we need to solve the following system of equations:

-2a + 2b = m 2a + b = 7 a - 2b = -4

where a and b are the scalar multiples of the vectors (-2, 2, 1) and (2, 1, -2) respectively. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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