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Find a single 3 × 3 matrix A for which all of the following properties are true:
a) The kernel of A is the line spanned by the vector $vec{v_1} = begin{bmatrix}1\1\1end{bmatrix}$
b) $vec{v_2} = begin{bmatrix}1\0\1end{bmatrix}$ is an eigenvector for A.
c) $vec{v_3} = begin{bmatrix}1\2\-1end{bmatrix}$ is in the image of A.
An employee of the National Parks Service told you about a location in Washington, DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse.
A bucket that weights 4 lb and a rope of negligible weight are used to draw water from a well that is 70 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 2.5 ft/s, but water leaks out of a hole in the bucket at a rat..
Suppose past experience shows that 5% of school-age children in a certain geographic region have Attention Deficit Disorder (ADD). Assume that the probability of a doctor correctly diagnosing a child as having ADD is 77%
How many years do you have until you retire?Based on how you want to live in retirement and any other sources of retirement income you have available, how much money do you think you will need to draw from this savings account each year during retire..
a football falls from peak height of 23m to a final height of 1.3 m where it is caught. what is the final vertical velocity of the ball at the instant it is caught.
When adding or subtracting radical expressions, what must be true about the radicand (the data under the radical symbol) and the index? If the problem does not meet this criteria, what must be done?
a different smooth structure on r show that u phi given byis a local chart of the topological manifold m r which is
What is the oldest age shared by two actors to win an award?
A farmer has 360 feet of fencing to enclose wo adjacent rectangular corrals. What dimensions should be used to maximize the enclosed area?
compare the domain and range of fx x2 6 and gx -x 2
How many students were surveyed and how many students use d Google Chrome only.
Suppose a diver leaps from the edge of an 80foot cliff. His initial upwards velocity is 8 feet per second. When will he hit the water?
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