a. Write a matrix A that represents the coordinates of the vertices of the triangle, Place the x -coordinate of each point in the first row of A and the corresponding y -coordinate in the second row of A . b. Use addition of matrices to shift the triangle 3 units to the left and 1 unit downward, c. Find the product − 1 0 0 1 . A and explain the effect on the graph of the triangle. d. Find the product 1 0 0 − 1 . A and explain the effect on the graph of the triangle.
a. Write a matrix A that represents the coordinates of the vertices of the triangle, Place the x -coordinate of each point in the first row of A and the corresponding y -coordinate in the second row of A . b. Use addition of matrices to shift the triangle 3 units to the left and 1 unit downward, c. Find the product − 1 0 0 1 . A and explain the effect on the graph of the triangle. d. Find the product 1 0 0 − 1 . A and explain the effect on the graph of the triangle.
Solution Summary: The author explains how the matrix representing the vertices of the provided triangle can be represented in a matrix, where the first row represents the x-coordinates and the second row is the
a. Write a matrix
A
that represents the coordinates of the vertices of the triangle, Place the
x
-coordinate
of each point in the first row of
A
and the corresponding
y
-coordinate
in the second row of
A
.
b. Use addition of matrices to shift the triangle
3
units to the left and
1
unit downward,
c. Find the product
−
1
0
0
1
.
A
and explain the effect on the graph of the triangle.
d. Find the product
1
0
0
−
1
.
A
and explain the effect on the graph of the triangle.
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.