please help me to get the solution for my question Let T be a linear operator on
ID: 1891377 • Letter: P
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please help me to get the solution for my question
Let T be a linear operator on Rn that leaves a subspace ECRn invariant; i e., or all x EE, T(x) E E. Show that e also leaves E invariant.Explanation / Answer
1) for the 1st line/equation, find two points a) to find the two points, choose 2 values of x and calculate the corresponding y-value b) or find the x- and y- intercepts (find where x = 0 and y = 0) 2) plot those two points on a coordinate plane 3) draw a line through the two points 4) repeat for the 2nd line/equation 5) the intersection to the two lines is the solution 2x - 3y = 6 when x = 0: >> 2(0) - 3y = 6 >> -3y = 6 >> y = -2 when y = 0: >> 2x - 3(0) = 6 >> 2x = 6 >> x = 3 two points: (0, -2) and (3, 0) plot the points and draw a line through the points 4x + 3y = 12 when x = 0 >> 4(0) + 3y = 12 >> 3y = 12 >> y = 4 when y = 0 >> 4x + 3(0) = 12 >> 4x = 12 >> x = 3 two points: (0, 4) and (3, 0) plot the points and draw a line through the points you'll find that the two lines intersect at (3, 0) ---------- ON A GRAPHING CALCULATOR: 1) change each equation into the slope-intercept form (y = mx + b) 2) plug into a graphing calculator 3) find where they intersect 2x - 3y = 6 -3y = -2x + 6 y = (-2x + 6) / -3 y = (2/3)*x - 2 4x + 3y = 12 3y = -4x + 12 y = (-4x + 12) / 3 y = (-4/3)*x + 4
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