https://file.aiquickdraw.com/mathbot/file/1727093110975dsme33c6.jpg

Let's find the values of \( a \), \( b \), and \( c \) from the matrix equations shown in the image. Each equation gives us a system of linear equations to solve. I will solve each part separately.

### Part a

Given:
\[
\begin{pmatrix}
2a - 1 \\
4b + 2
\end{pmatrix}
=
\begin{pmatrix}
7 - 2a \\
-10
\end{pmatrix}
\]

We get two equations:
1. \( 2a - 1 = 7 - 2a \)
2. \( 4b + 2 = -10 \)

Let's solve these equations.For part \( a \), we have found:
- \( a = 2 \)
- \( b = -3 \)

### Part b

Given:
\[
\begin{pmatrix}
a - b \\
a + b


Tentukan nilai a, b, dan c dari kesamaan-kesamaan matriks di bawah ini (seperti terlihat pada gambar).

Solve the matrix equations step by step to find the values of a, b, and c. This problem introduces matrix operations and basic linear algebra concepts. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation