please explain matrices. It is very confusing. I do not understand them at all.

54 SECONDARY MATHI // MODULE 8 8.9H CONNECTING ALGEBRA & GEOMETRY - 8.9H SET Topic: The determinant of a 2 X 2 matrix 4. Use the determinant of each 2 x 2 matrix to decide which matrices have multiplicative inverses, and which do not. 5. Find the multiplicative inverse of each of the matrices in 4, provided the inverse matrix exists. a. b. 6. Generally matrix multiplication is not commutative. That is, if A and B are matrices, typically A . B + B . A. However, multiplication of inverse matrices is commutative. Test this out by showing that the pairs of inverse matrices you found in question 7 give the same result when multiplied in either order. Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org MVI mathematics vision project53 SECONDARY MATHI // MODULE 8 8.9H CONNECTING ALGEBRA & GEOMETRY - 8.9H READY, SET, GO! Date Name Period READY Topic: Solving systems of equations using row reduction (5x - 3y =3 Given the system of equations 2x + y = 10 1. Zac started solving this problem by writing 12 7 101 -2 7 10 Describe what Zac did to get from the matrix on the left to the matrix on the right. 2. Lea started solving this problem by writing [2 3 5] - 1 7 8] Describe what Lea did to get from the matrix on the left to the matrix on the right. 3. Using either Zac's or Lea's first step, continue solving the system using row reduction. Show each matrix along with notation indicating how you got from one matrix to another. Be sure to check your solution. Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4,0 mathematicsvisionproject.org MV mathematics vision project55 SECONDARY MATHI // MODULE 8 8.9H CONNECTING ALGEBRA & GEOMETRY - 8.9H GO Topic: Parallel and perpendicular lines Determine if the following pairs of lines are parallel, perpendicular or neither. Explain how you arrived at your answer. 7. 3x + 2y =7 and 6x + 4y =9 8. y = 7 x -5 and y = -7x+7 9. y = = x-2 and 4x + 3y = 3 10. Write the equation of a line that is parallel to y = - x - 2 and has a y-intercept at (0, 4). Mathematics Vision Project Licensed under the Creative Commons Attribution CC BY 4.0 mathematicsvisionproject.org MV mathematics vision project