Question
Denote by a, b and e the column vectors
Calculate
Answer :
Word Count : 207
Let's manually solve the given vector operations step by step. ### Given vectors: \[ \mathbf{a} = \begin{pmatrix}1\\2\\3\end{pmatrix},\quad \mathbf{b} = \begin{pmatrix}-2\\1\\-3\end{pmatrix},\quad \mathbf{c} = \begin{pmatrix}-2\\-1\\1\end{pmatrix} \] --- ### 1. Compute \( 2\mathbf{a} - 5\mathbf{b} \) First, multiply \(\mathbf{a}\) by 2: \[ 2\mathbf{a} = ______ ___ __________ _____ _______ _____ ________ ________ ______ _____.
______ ___ __________ __________ ____ _________ ___ ___.
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________ ________ _____ ___ ___ _______ _______ _____ ________ _________.
_________ ____ ______ ________ _______ ___ _____ ________ ____ _____ ___ ____.
___ _____ ___ ______ ___ __________ __________ _________ __________.
______ ___ _______ _______ ___ _______ ____.
__________ _________ __________ __________ ________ __________ ____ ____.
____ ____ _______ __________ _____ ___ ___ __________ ____ ________ ___ ______.
______ ____ ________ _________ _____ ________.
___ ___ _________ __________ _________ _______ _____ ____.
__________ __________ _________ _______ ________.
____ _______ _______ _____ _________ ______ __________ __________ ______ _______ ____ ________.
__________ ______ _____ _______ ___ __________ ______ _________ ______ ____.
_________ ________ ____ ___ __________ __________ ________ _______ ______.
__________ _________ ____ ____ ________ _________ ___.
_______ _____ _____ __________ __________ ______.
______ ________ ______ ____ ____.
_______ ______ ___ ______ _____ __________ ___ ___ __________ _______ ___.
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Let's manually solve the given vector operations step by step. ### Given vectors: \[ \mathbf{a} = \begin{pmatrix}1\\2\\3\end{pmatrix},\quad \mathbf{b} = \begin{pmatrix}-2\\1\\-3\end{pmatrix},\quad \mathbf{c} = \begin{pmatrix}-2\\-1\\1\end{pmatrix} \] --- ### 1. Compute \( 2\mathbf{a} - 5\mathbf{b} \) First, multiply \(\mathbf{a}\) by 2: \[ 2\mathbf{a} = ______ ___ __________ _____ _______ _____ ________ ________ ______ _____.
______ ___ __________ __________ ____ _________ ___ ___.
_____ _____ ______ _______ _____ _____ __________ ____ ___ ____ ___.
________ ________ _____ ___ ___ _______ _______ _____ ________ _________.
_________ ____ ______ ________ _______ ___ _____ ________ ____ _____ ___ ____.
___ _____ ___ ______ ___ __________ __________ _________ __________.
______ ___ _______ _______ ___ _______ ____.
__________ _________ __________ __________ ________ __________ ____ ____.
____ ____ _______ __________ _____ ___ ___ __________ ____ ________ ___ ______.
______ ____ ________ _________ _____ ________.
___ ___ _________ __________ _________ _______ _____ ____.
__________ __________ _________ _______ ________.
____ _______ _______ _____ _________ ______ __________ __________ ______ _______ ____ ________.
__________ ______ _____ _______ ___ __________ ______ _________ ______ ____.
_________ ________ ____ ___ __________ __________ ________ _______ ______.
__________ _________ ____ ____ ________ _________ ___.
_______ _____ _____ __________ __________ ______.
______ ________ ______ ____ ____.
_______ ______ ___ ______ _____ __________ ___ ___ __________ _______ ___.
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