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
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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
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.
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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