# ▸ Linear Algebra :

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1. Let u be a 3-dimensional vector, where specifically
$\inline&space;u&space;=&space;\begin{bmatrix}&space;2\\&space;1\\&space;8&space;\end{bmatrix}$
What is $\inline&space;u^{T}$ ?

1. Let u and v be 3-dimensional vectors, where specifically
$\inline&space;u&space;=&space;\begin{bmatrix}&space;4&space;\\&space;-4&space;\\&space;-3&space;\end{bmatrix}$
and
$\inline&space;v&space;=&space;\begin{bmatrix}&space;4&space;\\&space;2&space;\\&space;4&space;\end{bmatrix}$
what is $\inline&space;u^{T}v$ ?
(Hint: $\inline&space;u^{T}v$ is a 1x3 dimensional matrix, and v can also be seen as a 3x1 matrix. The answer you want can be obtained by taking the matrix product of $\inline&space;u^{T}$ and $\inline&space;v$.) Do not add brackets to your answer.
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1. Let A and B be 3x3 (square) matrices. Which of the following must necessarily hold true? Check all that apply.

1. Let A and B be 3x3 (square) matrices. Which of the following must necessarily hold true? Check all that apply.

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