Problemas
10) Solve each equation.. Check your answers. a) 2[0 1] [3 -4] -3X=[} 9&-6 [1&-2 ] I b 1/2X+[5 -1]=2[3 0] [0 2/3] [1 2]
Roztwór
Esmeralda
professionell · Tutor durante 6 años
4.2
(258 Votos)
Respuesta
Let's solve each equation step by step.### Part (a)Given:
First, multiply the matrix by 2:
So the equation becomes:
Next, isolate
:
Subtract the matrices:
Now, divide by -3 to solve for
:
So, the solution for part (a) is:
### Part (b)Given:
First, multiply the matrix by 2:
So the equation becomes:
Next, isolate
:
Subtract the matrices:
Now, multiply by 2 to solve for
:\[ X = 2 \begin{bmatrix} 1 & 1 \\ 2 & \frac{10}{3end} = \begin{bmatrix} 2 \cdot 1 & 2 \cdot 1 \\ 2