Find the families of characteristics of the PDE (1-x²)w„ - u,, = 0 in the elliptic and hyperbolic cases.

Q: Solve for x and y.

A: We use multiplication operation on matrix and use equality of mattix

Q: 一副+一 Solve

A:

Q: Orthonormalize the set {(¿).(9)} with respect to the inner product from before.

A:

Q: Solve the following. 8x + x = 2x + 7 x

A:

Q: Find the value of the determinant. |-2 -4 -4 3 -1 -2 2 2-5

A:

Q: Algebraically solve each of the following equations:

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.