[4 2 -1 0A17332The formula T(x)= Ax defines a transformation T : R" → R". Enter the correct valuethat should be written in place of n in the previous sentence.

Answered: -1 0] [4 2 A = 7 3 3 2 The formula T(x)…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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[4 2 -1 0
A
1
7
3
3
2
The formula T(x)
= Ax defines a transformation T : R" → R". Enter the correct value
that should be written in place of n in the previous sentence.

Expert Solution

Step 1

Given $A = [\begin{matrix} 4 & 2 & - 1 & 0 \\ 7 & 3 & 3 & 2 \end{matrix}]$ .

The matrix representation of a linear transformation $T : ℝ^{n} \to ℝ^{m}$ is an $m \times n$ matrix A which the satisfies the condition $T (x) = A x$ for all $x \in ℝ^{n}$ .

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