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Jun 8 2007, 12:01 AM EDT
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Change: There were only format changes (bold, italics, etc.) in this version. See this version for details.
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Jun 8 2007, 12:00 AM EDT
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Change: Example 1Types of Matrices A matrix with only one row is called a row matrix. A matrix with only one column is called a column matrix. A matrix with equal dimensions (m=n) is called square matrix. IdentityIdentity Matrix It is a
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Jun 7 2007, 11:40 PM EDT
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Change: Finding the inverse of a 2 by 2 matrix Video(The video uses the formula shown above.)Example 2 To find if any 2 by 2 matrix has an inverse or not. It has an inverse when ad≠bc, and the flowchart shows that . 3. Multiplying matrices
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Jun 7 2007, 11:36 PM EDT
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Change: There were only format changes (bold, italics, etc.) in this version. See this version for details.
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Jun 7 2007, 11:33 PM EDT
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Change: will be displayed. Continue this procedure until the whole matrix is shown. It should look like this: LinkLinksDefinitons regarding matricesReferences Mathematics of Data Management , Grade 12, (MDM4U). McGraw-Hill Ryerson
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Jun 7 2007, 11:27 PM EDT
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Change: The ",1,2)" sets which element to be displayed. Since it says 1,2, the element of the first row and second column will be displayed. Continue this procedure until the whole matrix is shown. It should look like this: LinkReferences Mathematics of Data Management , Grade 12, (MDM4U). McGraw-Hill Ryerson
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Jun 7 2007, 11:16 PM EDT
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Change: There were only format changes (bold, italics, etc.) in this version. See this version for details.
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Jun 7 2007, 11:11 PM EDT
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Change: There were only format changes (bold, italics, etc.) in this version. See this version for details.
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Oct 29 2006, 8:51 AM EST
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Change: Matrix Matrix B. So a 2 by 2 matrix * a 2 by 2 matrix will result in a 2 by 2 matrix. matrix. Similarly, a 2 by 3 matrix * a 3 by 4 matrix will result in a 2 by 3 matrix. c 1 by
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Oct 28 2006, 11:43 PM EDT
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Change: matriciesmatrices because the column number for Matrix A = 2 and the row number for Matrix B = 2. Example 1 Find Matrix A * Matrix B. Solution To find A * B, the matrices A, B must have the same inner-dimensions. When multiplying two matrices, the resulting
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Oct 28 2006, 11:38 PM EDT
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Change: T2T3 but the picture cuts it off): There are two functions that we are going to use. We are going to use the MMULT function and the INDEX
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Oct 28 2006, 11:31 PM EDT
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Change: from from the upper-left to the lower-right) and 0's everywhere else. Transpose of the Matrix (At) You can find the transpose of the matrix by interchanging the corresponding rows and columns. Addition and Subtraction Two or more matrices can be added or subtracted only if they have the same same
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Oct 28 2006, 11:25 PM EDT
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Change: There were only format changes (bold, italics, etc.) in this version. See this version for details.
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Oct 28 2006, 11:23 PM EDT
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Change: Two or more matrices can be added or subtracted only if they have the same dimensions. To add or subtract matrices, add or subtract the
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Oct 28 2006, 11:21 PM EDT
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Change: What is a Matrix? A matrix is a rectangular array of numbers used to manage and organize data. It is made up of horizontal rows and vertical columns.
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Oct 28 2006, 11:13 PM EDT
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Change: Two or more matrices can be added or subtracted only if they have the same dimensions. To add or subtract matrices, add or subtract the
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Oct 28 2006, 11:12 PM EDT
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Change: There were only format changes (bold, italics, etc.) in this version. See this version for details.
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Oct 28 2006, 11:12 PM EDT
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Change: Dividing Matrices isn't like multiplying. It's different in some ways. If you are to divide by a scalar, each element is divided by the scalar quantity. However, a matrix divided by another matrix is ALWAYS undefined. Example 1 Simplify the following expression and find A: Solution To isolate
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Oct 28 2006, 11:02 PM EDT
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Change: A1:B2 defines where the matrix is located on the spreadsheet. However, alike the MMULT function, the MINVERSE function only displays the first element of the
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Oct 28 2006, 10:56 PM EDT
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Change: to display The result should look like this: 3. Finding the inverses of matrices in Excel Example 2 Using Excel, we will calculate the inverse of: Solution First, type the matrix into Excel. It should look like this: ReferencesMathematics of Data Management , Grade 12, (MDM4U). McGraw-Hill Ryerson
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