The values should look like the values in the spreadsheet as shown in Figure 4.ġ3. Now, set the sliders to a = -1, b = 0, c = -1, d = 0.
GEOGEBRA SPREADSHEET HOW TO
(Recall how to multiply two by two matrices).ġ2. To multiply the two matrices, type = A1*C1 + B1*C2 in E1, =A1* D1 + B1 * D2 in F1, = A2 * C1 + B2 * C2 in E2 and =A2*D1 + B2*D2 in F2. We do this by typing a in C1, b in D1, c in D2 and d in D2.ġ1. Now, construct sliders b, c and d with the same interval and increment as that of slider a. Type a in the name box, set the minimum value to -1, the maximum value 1, and the increment to 1, and click the Apply button.ĩ. In the Slider dialog box, be sure that the Number option button is selected. To create slider a, select the Slider tool and click anywhere on the drawing pad to display the Slider dialog box.Ĩ. Next, create sliders a, b, c and d, which will be the entries of our second matrix. Your drawing should look like the figure below.ħ. To construct vector AP, select the Vector between Two Points tool, click point A and then click P. To create the point A, click the Graphics view, select the Intersect Two Objects tool, click the x-axis and the y-axis.Ħ.
This will be the initial points of vectors that we are going to create later. Rename the point A to P and point B to Q. Notice that two points appear in the coordinate plane.
Highlight the four numbers, and then select Create List of Points (Figure 2). Type the following numbers in the GeoGebra Spreadsheet: 2 in cell A1, 3 in cell B1, 1 in cell A2 and 4 I cell B2 (see Figure 1).Ĥ. To show labels of points only, click the Options menu, click Labeling, and then click New Points Only.ģ. Open GeoGebra and select Spreadsheet and Graphics from the Perpsectives menu.Ģ. You can view the output of this tutorial here.ġ. The ordered pairs ( A1, B1), ( A2, B2) are the factor matrix and the ordered pairs ( E1, F1) and ( E2, F2) will be the product matrix.
We enter the formulas of product matrix cells in E1, F1, E2 and F2. We will also observe the relationship between their graphical interpretations.įirst, we enter values of the first 2 x 2 matrix in cells A1, B1, A2 and B2, then create the multiplier matrix determined by sliders a, b, c and d. We set the entries of the factor matrices to integers, and limit the second matrix entries to values of -1, 0, and 1. In this tutorial, we explore the relationship between the product of two 2 x 2 matrices.
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