Math Problem Statement

Diketahui matrix A = [[3, -4], [2, 1]], B = [[-3, -4], [-1, 5]], dan C = [[5, 4], [-2, -1]].

Solution

The image you uploaded provides three matrices labeled as AA, BB, and CC:

A=(3421),B=(3415),C=(5421)A = \begin{pmatrix} 3 & -4 \\ 2 & 1 \end{pmatrix}, \quad B = \begin{pmatrix} -3 & -4 \\ -1 & 5 \end{pmatrix}, \quad C = \begin{pmatrix} 5 & 4 \\ -2 & -1 \end{pmatrix}

Let me know if you need help with specific operations involving these matrices, such as matrix addition, multiplication, or finding determinants.

Do you have a particular task you'd like to solve with these matrices?

Here are some example questions based on matrix operations:

  1. How do you add matrices AA and BB?
  2. What is the product of matrices A×BA \times B?
  3. Can you find the determinant of matrix CC?
  4. How do you subtract matrix BB from matrix AA?
  5. Can you verify if matrix AA is invertible?

Tip: When multiplying two matrices, ensure the number of columns in the first matrix equals the number of rows in the second matrix.

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Math Problem Analysis

Mathematical Concepts

Matrices
Matrix Operations
Linear Algebra

Formulas

Matrix addition: (A + B)
Matrix multiplication: (A * B)
Determinant of a 2x2 matrix: det(A) = ad - bc

Theorems

Associative property of matrix multiplication
Determinant theorem for invertibility

Suitable Grade Level

College-level, Linear Algebra