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Given the vectors \( \left[\begin{array}{l}2 \\ 2 \\ 5\end{array}\right],\left[\begin{array}{l}3 \\ 3 \\ 9\end{array}\right] \), and \( \left[\begin{array}{c}5 \\ 5 \\ -3\end{array}\right] \) a) Write the vectors in matrix form

Ask by Bowman Rodriquez. in Kenya
Dec 16,2024

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The matrix form of the vectors is: \[ A = \left[\begin{array}{ccc} 2 & 3 & 5 \\ 2 & 3 & 5 \\ 5 & 9 & -3 \end{array}\right] \]

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The vectors you provided can be written in matrix form as follows: \[ \begin{bmatrix} 2 & 3 & 5 \\ 2 & 3 & 5 \\ 5 & 9 & -3 \end{bmatrix} \] This arrangement places each vector as a column of the matrix, making it easy to perform operations like addition or determining linear combinations! --- In the context of linear algebra, you might find it fun to explore how matrices can represent systems of equations! For example, you can use row operations on your matrix to find solutions to equations represented by linear combinations of these vectors. It’s like solving a puzzle where each piece (vector) contributes to the overall picture (solution)!

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