Chapters

## Exercise 1

Given the matrices:

Solve the matrix equation:

A** ·** X = B

Chapters

Given the matrices:

Solve the matrix equation:

A** ·** X = B

Superprof

Given the matrices:

Solve the matrix equation:

X** ·** A + B = C

Given the matrices:

Solve the matrix equations:

Given the matrices:

Solve the matrix equation:

**A X + 2 B = 3 C**

Solve the matrix equation:

**A · X + 2 · B = 3 · C**

Solve the system using a matrix equation.

Calculate A and B:

Solve the following equations without developing the determinants.

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1Given the matrices:

Solve the matrix equation:

A** ·** X = B

|A|=1 ≠ 0, there is the inverse A^{−1}.

A^{−1} (A ** ·** X) = A^{−1} ** ·** B

(A^{−1} ** ·** A) ** ·** X = A^{−1} ** · **B

I ** ·** X = A^{−1} ** · **B

X = A^{−1} ** · **B

Given the matrices:

Solve the matrix equation:

X** ·** A + B = C

|A| = 1 ≠ 0

(X ** ·** A + B) − B = C − B

X ** ·** A + (B − B) = C − B

X ** ·** A + 0 = C − B

X ** ·** A = C − B

X · A · A^{−1} = (C − B) · A^{−1}

X (A · A^{−1} ) = (C − B) · A^{−1}

X · I = (C − B) · A^{−1}

X = (C − B) · A^{−1}

Given the matrices:

Solve the matrix equations:

Given the matrices:

Solve the matrix equation:

Solve the matrix equation:

**A · X + 2 · B = 3 · C**

**|A| = 1 ≠ 0**

**(A · X +2 · B) − 2 · B = 3 · C − 2B**

**A · X + ( 2 · B − 2 · B) = 3 · C − 2B**

**A · X + 0= 3 · C − 2B**

**A· X = 3 · C − 2B**

(**A ^{−1} · A) · X = A^{−1} · (3 · C − 2B)**

**I · X = A ^{−1} · (3 · C − 2B)**

**X = A ^{−1} · (3 · C − 2B)**

Solve the system using a matrix equation.

Calculate A and B:

**Multiply the second equation by −2. **

**Add the equations.**

**Multiply the first equation by 3 and add the equations:**

Solve the following equations without developing the determinants.

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