Question

Every matrix equation Ax=b corresponds to a vector equation with the same solution set.

a.True
b.False

Answer 1

False. Every matrix equation Ax = b corresponds to a vector equation of the form Ax + Ay + ... + Az = b, where A, x, b are matrices and vectors, respectively.

Step-by-step explanation:

False

The statement is false. Every matrix equation Ax = b corresponds to a vector equation of the form Ax + Ay + ... + Az = b, where A, x, b are matrices and vectors, respectively.

For example, let's consider the matrix equation:

Ax = b

The corresponding vector equation would be:

Ax + 0y + 0z = b

So, the vector equation has additional zero components for the y and z variables, making it different from the original matrix equation.