Advanced Algebra MATH 003 (TIP Reviewer)
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7/23/2019 Advanced Algebra MATH 003 (TIP Reviewer)
Matrix: rectangular array of numbers
Elements: aij where i (row) and a j (column)
Matrix dimension: m (row) by n (column)
*Zero matrix - matrix having zeroes for all its members. Also called additive identity..
You can only add if they have the same dimensions for both row and columns! (2x3 + 2x3)b.
Add each elements correspondingly.c.
Addition: Add the corresponding elements of matrices have the same dimension.
Additive inverse of a matrix: replace each element by additive inverse.
You can only subtract if they have the same dimensions for both row and columns (2x3 + 2x3).
Subtraction: Subtract the corresponding elements..
Scalar product of a real number (K) - multiply each element by the number K. K times each element!.
Multiplication of 2 matrices: Multiply the element in row i of the first matrix to the column j of the second matrix.
The product of an m x n matrix and n x p matrix is an m x p matrix..
Before multiplying, check first if they can be multiplied. Kailangang pareho yung means: column ng first matrix =
A (3 x 2) * B (2 X 3) = C (3 X 3).
Operation of Matrix
*Square Matrix: a matrix with the same number of rows and columns (Ex: 2x2, 3x3, 4x4)
The system of 2 equations in 2 variables:
Has a solution given by:
*Kung ano yung hinahanap na variable, palitan ng values ng C. Don't forget to divide the x, y and z by d
If D = 0, and the determinants of the numerators are also 0 , then the system of the equation is dependent. Equation 1 a
just the same line.
If D = 0, and at least one of the other determinants is non-zero, then the system is inconsistent. Equation 1 and 2 form p
If D = 0, then one of the situation occurs:
Thursday, August 14, 2014 10:54 AM
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