×
Get Full Access to Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) - 3 Edition - Chapter 1 - Problem 1.2.45
Get Full Access to Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) - 3 Edition - Chapter 1 - Problem 1.2.45

×

# In Exercises 4045, find the projection of v onto u. Draw asketch in Exercises 40 and 41

ISBN: 9780538735452 298

## Solution for problem 1.2.45 Chapter 1

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) | 3rd Edition

4 5 1 329 Reviews
23
3
Problem 1.2.45

In Exercises 4045, find the projection of v onto u. Draw asketch in Exercises 40 and 41. 45.u 3.010.332.52 , v 1.344.251.66Figure 1.39 suggests two ways in which vectorsmay be used to compute the area of a triangle.The area A of the triangle in part (a) is given byand part (b) suggests the trigonometric form of thearea of a triangle: A (We can use theidentity to find sin .)

Step-by-Step Solution:
Step 1 of 3

M303 Section 2.3 Notes- Characterizations of Invertible Matrices 10-14-16  Theorem 8- Invertible Matrix Theorem (IMT)- Let be × matrix; the following are equivalent: o is invertible o = o has pivot positions in its EF o = has only trivial solution o Columns of are linearly independent o LM :ℝ → ℝ given by = is 1-1 o = has a solution for all o Columns of span ℝ o LM :ℝ → ℝ given by = is onto o There exists an × matrix such that = o There exists an × matrix such that = o is invertible −1 −1  Let and be square matrices; if = , then and both invertible and , = 1 0 −2  Ex. Using the Invertible Matrix Theorem, determine if [ 3 1 −2 ]is invertible. −5 −1 9 0 −2 o ~ EF [0 4 ] 0 0 3 o Pivot in every row and column; columns are linearly independent and span ℝ  Linear map :ℝ → ℝ invertible if there ex

Step 2 of 3

Step 3 of 3

##### ISBN: 9780538735452

This textbook survival guide was created for the textbook: Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign), edition: 3. Since the solution to 1.2.45 from 1 chapter was answered, more than 238 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 1.2.45 from chapter: 1 was answered by , our top Math solution expert on 01/29/18, 04:03PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 7 chapters, and 1985 solutions. The answer to “In Exercises 4045, find the projection of v onto u. Draw asketch in Exercises 40 and 41. 45.u 3.010.332.52 , v 1.344.251.66Figure 1.39 suggests two ways in which vectorsmay be used to compute the area of a triangle.The area A of the triangle in part (a) is given byand part (b) suggests the trigonometric form of thearea of a triangle: A (We can use theidentity to find sin .)” is broken down into a number of easy to follow steps, and 69 words. Linear Algebra: A Modern Introduction (Available 2011 Titles Enhanced Web Assign) was written by and is associated to the ISBN: 9780538735452.

## Discover and learn what students are asking

Calculus: Early Transcendental Functions : Multiple Integration
?In Exercises 1 and 2, evaluate the integral. $$\int_{0}^{2 x} x y^{3} d y$$

Chemistry: The Central Science : Introduction:Matter, Energy, and Measurement
?Which of the following diagrams represents a chemical change? [Section 1.3]

#### Related chapters

Unlock Textbook Solution