Mathematics, 23.06.2021 03:30 trin83
Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: , T()(,), T()(,), and T()(,), where , , are the columns of the 33 identity matrix. a. Is the linear transformation one-to-one? A. T is one-to-one because T(x)0 has only the trivial solution. B. T is not one-to-one because the columns of the standard matrix A are linearly independent. C. T is not one-to-one because the standard matrix A has a free variable. D. T is one-to-one because the column vectors are not scalar multiples of each other. b. Is the linear transformation onto? A. T is onto because the columns of the standard matrix A span . B. T is not onto because the columns of the standard matrix A span . C. T is onto because the standard matrix A does not have a pivot position for every row. D. T is not onto because the standard matrix A contains a row of zeros.
Answers: 2
![T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]](/tpl/images/1381/9510/77e67.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 17:30, leapfroggiez
Enter the missing numbers in the boxes to complete the table of equivalent ratios. time (min) distance (km)? 36 9? 1512 ?
Answers: 3
Mathematics, 21.06.2019 19:00, vane6176
Which sentence uses an objective tone? we will plant the best garden of any school in the area. the new campus garden will surely be envied by other schools. a garden would provide numerous benefits to the students. you will probably agree that gardens have many benefits.
Answers: 3
You know the right answer?
Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your a...
Questions in other subjects:
Mathematics, 20.08.2019 22:10
Mathematics, 20.08.2019 22:10
Social Studies, 20.08.2019 22:10
Business, 20.08.2019 22:10
