Please make it step by step: b.Using Matrix [C] and ‘k’ prove that Property 3 of determinant is true.
Please make it step by step: b.Using Matrix [C] and ‘k’ prove that Property 3 of determinant is true.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 84RE
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Question
Please make it step by step:
b.Using Matrix [C] and ‘k’ prove that Property 3 of determinant is true.
![[3 -2
C = 7 -1
l8
5
k = 4
-6
9
11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a0aaa8f-50f5-4a7f-9e0c-6d9345879b4e%2Fd4fd20c2-2d21-489c-8b42-5239ef24b491%2Fg22y8_processed.png&w=3840&q=75)
Transcribed Image Text:[3 -2
C = 7 -1
l8
5
k = 4
-6
9
11
![PROPERTIES OF DETERMINANTS
3. Multiplication of a determinant by a Number
k· det(A) = det(A')
Where:
The matrix A’ differs from A in that any one of its row or columns
is multiplied by k.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9a0aaa8f-50f5-4a7f-9e0c-6d9345879b4e%2Fd4fd20c2-2d21-489c-8b42-5239ef24b491%2Fujayh2s_processed.png&w=3840&q=75)
Transcribed Image Text:PROPERTIES OF DETERMINANTS
3. Multiplication of a determinant by a Number
k· det(A) = det(A')
Where:
The matrix A’ differs from A in that any one of its row or columns
is multiplied by k.
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