Vector spaces & linear transformation: s a) assume a linear transformation t from r3 to r3 has 3 eigen vectors, v, 2, v3 associated with the eigen values 1 2 3, respectively. t(v2) t(v3) b) is tonto? provide support for your conclusion c) is t one-to-one? provide support for your conclusion. d) ls [v,, v2, v3) a basis for r3? e) construct a matrix a that can represent t in terms of v1, 2, v3 f) what can be a reduced echelon form for a? g) what can be det(a)? h) what can be the solution of ax0?

The map shows the location of the airport and a warehouse in a city. though not displayed on the map, there is also a factory 112 miles due north of the warehouse.a truck traveled from the warehouse to the airport and then to the factory. what is the total number of miles the truck traveled?

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.

What is the equation of a line that passes through points (0, 4) and (-4,-8)?