1. Draw, in BLACK, the triangle with vertices (−1, 5), (−6, 3), and (−4, 8). 2. In BLUE, draw the triangle when the BLACK triangle is translated by the function (x, y) → (x, y − 6). 3. In GREEN, draw the triangle when the BLACK triangle is reflected in the y-axis. (You can draw or use coordinates to show the answer)

Step-by-step explanation:

A one-dimensional linear transformation is a function T(x)=ax for some scalar a. To view the one-dimensional case in the same way we view higher dimensional linear transformations, we can view a as a 1×1 matrix. The determinant of the 1×1 matrix is just the number a itself. Although this case is very simple, we can gather some intuition about linear maps by first looking at this case.

An example one-dimensional linear transformation is the function T(x)=3x. We could visualize this function by its graph, which is a line through the origin with slope 3. However, instead, let's view it as a mapping from the real line R back onto the real line R. In this case, we think of the function as x′=T(x), which maps the number x on the x-axis to the new number T(x) on an x′-axis. T takes the number 1 and maps it to 3. T maps 0 to 0 and -1/2 to -3/2. We also use the language that 3 is the image of 1 under the mapping T.

We can summarize this mapping by looking how T maps an interval of numbers. For example, T maps the interval [0,1] to the interval [0,3], as illustrated by the following figure. We colored the interval [0,1] and its image [0,3] with a green to red gradient that illustrates how each point in the interval is mapped by T. A point of a given color in [0,1] is mapped to a point of the same color in the image [0,3].

5 quiero

6 vamos

7 puedan

8 quiero

9pedemos

10 dorme

step-by-step explanation:

hence, the required result is

step-by-step explanation:

suppose we have two matrices a and b

we will assume the two matrices

we have to compute b-a which means subtracting corresponding elements of a from b.

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