Hello, can you help me understand this problem in detail please. Thank you ### Properties of DeterminantsConsider the following determinant problem:\[ \begin{vmatrix}-10 & s & s \\35 & -20 & 25 \\0 & 15 & 30 \\\end{vmatrix} = s^3 \begin{vmatrix}-2 & 1 & 1 \\7 & -4 & s \\0 & 3 & 6 \\\end{vmatrix}\]This problem illustrates the properties of determinants, specifically how they change with scalar multiplication and matrix operations. **Explanation of each matrix:**1. **First Matrix:** - Row 1: `-10`, `s`, `s` - Row 2: `35`, `-20`, `25` - Row 3: `0`, `15`, `30` This matrix shows real numbers and variables which can affect the determinant calculation, dependent on the scalar \( s \).2. **Second Matrix:** - Row 1: `-2`, `1`, `1` - Row 2: `7`, `-4`, `s` - Row 3: `0`, `3`, `6` The second matrix is multiplied by \( s^3 \), indicating the effect of scaling by \( s \).This example demonstrates how modifying elements in a matrix or scaling by a factor like \( s^3 \) will affect the outcome of the determinant.

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Description: Hello, can you help me understand this problem in detail please. Thank you ### Properties of DeterminantsConsider the following determinant problem:\[ \begin{vmatrix}-10 & s & s \\35 & -20 & 25 \\0 & 15 & 30 \\\end{vmatrix} = s^3 \begin{vmatrix}-2 &

Using properties of determinants to solve -10 5 5 35-20 25 0 15 30

Answered: II) -10 S S 35 -20 25 O IS 30 7 4 361…

Math

Algebra

II) -10 S S 35 -20 25 O IS 30 7 4 361 properttes of De terminants:

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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