What does it mean for two matrices to be equal


Questions:

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1. Solve by substitution:

                     x + y = 6
                     2x - 4y = 0

2. Does the shaded region of the graph of the system of equations x < 3, x + 7< 4 include the point (2, 3)? How do you know?

3. Explain what it means for a system of equations to be inconsistent and how you can tell whether a system is inconsistent using Gaussian elimination.

4. What does it mean for two matrices to be equal?

5. Let A be a 2 x 3 matrix and B be a 2 x 3 matrix.

a) Is it possible to add A and B?

b) Is it possible to do the multiplication AB?

c) Is it possible to do the multiplication BA?

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Algebra: What does it mean for two matrices to be equal
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