Q26Multiple correct3 Marks11 Dec 2022

Let $T: \mathbb{R}^3 \to \mathbb{R}^3$ be a linear transformation whose matrix representation is $A$. Which of the following is true?

A

{ A in M_{3x3}(R) : A is a diagonal matrix and the sum of the diagonal entries of A is 0 }

B

{ A in M_{1x3}(R) : A is a scalar matrix }

C

$\text{span}\{(1, 3, 5), (2, 6, 10), (3, 9, 15)\}$

D

$\text{span}\{(1, 1, 0, 0), (1, 1, 1, 0), (4, 4, 1, 0), (-1, -1, -1, 5)\}$