In Exercises 24–26, use determinants to decide if the set of vectors is linearly independent.
25.
[
7
−
4
−
6
]
,
[
−
8
5
7
]
,
[
7
0
−
5
]
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
In Exercises 26–34, use properties of determinants toevaluate the given determinant by inspection. Explainyour reasoning
Please show all work
In Exercises 19–22, evaluate the (4X4) determinants.
Theorems 6–8 can be used to simplify the calculations.
In Exercises 5–8, use the definition of Ax to write the matrix equation as a
vector equation, or vice versa.
5.
5 1 8 4
-2 -7 3 −5
5
-1
3
-2
=
-8
-
[18]
16
Chapter 3 Solutions
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HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY