1 / 11

NOTES 3.3

NOTES 3.3. Flip Vocab. TSW Identify matrix terminology Add Matrices Subtract Matrices Multiply Matrices Enter matrix in a calculator. A matrix is described by its dimensions: rows X columns. Flip Vocab. one. one. equal.

keefe-palmer
Download Presentation

NOTES 3.3

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. NOTES 3.3 Flip Vocab • TSW • Identify matrix terminology • Add Matrices • Subtract Matrices • Multiply Matrices • Enter matrix in a calculator

  2. A matrix is described by its dimensions: rows X columns Flip Vocab one one equal Matrices are used to organize data and solve systems of equations. zero element dimensions corresponding A row matrix has _____ row. A column matrix has _____ column A square matrix has ________ number of rows and columns A zero matrix has each ___________ as a _________ Equal matrices have the same __________ and each element of one matrix is equal to the ____________element of the other matrix.

  3. Flip Vocab A matrix is usually named using a capital letter. element The dimensions of matrix A are ____ X ____ 2 3 4 9 dimensions Each value in a matrix is called an ___________ Find element A12 = ______ Find element A23 = ______ Matrices can only be added or subtracted if they have the same _______________

  4. Scalar Multiplication and Addition Teacher reminder: Show how to enter a matrix in TI83 DNE

  5. Solving with Matrices Examples

  6. Solve for x and y Set corresponding locations equal ! x+3y = -13 3x+y = 1 y = -3 Solve the system! 2x+(-3)=5 x = 4

  7. Solve for Matrix A Distribute! Add to isolate matrix X Teachers might want to show how calc can add matrices!!

  8. Multiply Matrices Pick columns Product matrix will be outer #s: 1 x 2 Pick rows 1 3 3 2 Dimensions: A = ___x___ B=___x___ AB = ___x___ 1 2 Inner #s must be same to multiply Multiply matrices: Find AB C2 C1 R1 Also show mult on calc.!

  9. Side bar summary Rule for multiplying matrices Commutative property AB=BA If the number of columns in the first matrix is not equal to the number of rows in the 2nd matrix, then the product of the two matrices is not defined, or “Does not Exist” or “DNE” This property is not always true for matrices. If A= 2x3 and B= 3x4 You can find AB …..but not BA

  10. Solve for w and z Set matching locations equal and solve for w and z 2x2 times 2x2 Product matrix will be a 2 x 2 Columns Rows C1 C2 R1 (-3)(4)+(-2)(-5) (-3)(w)+(-2)(1) R2 (0)(w)+(6)(1) (0)(4)+(6)(-5) Z = -30 w = 7

  11. Convert the matrix to equations and solve the system. 2x2 times 2x1 Product matrix will be a 2 x 1 Set matching locations equal -3x+2y = 7 -5x+6y = 17 C1 -3x+2y R1 -5x+6y R2

More Related