To decide: if the given statement is true or false.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 7, Problem 1SE

To determine

To decide: if the given statement is true or false.

Expert Solution & Answer

Answer to Problem 1SE

True.

Explanation of Solution

Given information:

The statement, “If A is orthogonally diagonalizable, then A is symmetric.”

Theorem Used:

An n×n matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.

The given statement is true.

By the above theorem, it is clear that since the matrix A is orthogonally diagonalizable, so it must also be symmetric.

Hence, given statement is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

1 Matching 10 points Factor and Solve 1)x3-216 0, x = {6,[B]} 2) 16x3 = 54 x-[3/2,[D]] 3)x4x2-42 0 x= [ +/-isqrt(7), [F] } 4)x+3-13-9x x=[+/-1.[H]] 5)x38x2+16x=0, x = {0,[K}} 6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3)) 7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}} 8) 5x³-3x²+32x=2x+18 x = {3/5, [S]} [B] [D] [F] [H] [K] [M] [Q] +/-2 sqrt(2) +/- i sqrt(6) (-3+/-3 i sqrt(3))/4 +/- 1 +/-sqrt(6) +/- 2/3 sqrt(3) 4 -3 +/- 3 i sqrt(3) [S]

The only problems I need help with ae the last 8 ones, Thanks

Graph without using the calculator y-1 = | x+4 |

Answer 2

Question

Chapter 7, Problem 1SE

To determine

To decide: if the given statement is true or false.

Expert Solution & Answer

Answer to Problem 1SE

True.

Explanation of Solution

Given information:

The statement, “If A is orthogonally diagonalizable, then A is symmetric.”

Theorem Used:

An n×n matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.

The given statement is true.

By the above theorem, it is clear that since the matrix A is orthogonally diagonalizable, so it must also be symmetric.

Hence, given statement is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 7, Problem 1SE

To determine

To decide: if the given statement is true or false.

Expert Solution & Answer

Answer to Problem 1SE

True.

Explanation of Solution

Given information:

The statement, “If A is orthogonally diagonalizable, then A is symmetric.”

Theorem Used:

An n×n matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.

The given statement is true.

By the above theorem, it is clear that since the matrix A is orthogonally diagonalizable, so it must also be symmetric.

Hence, given statement is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 7, Problem 1SE

To determine

To decide: if the given statement is true or false.

Expert Solution & Answer

Answer to Problem 1SE

True.

Explanation of Solution

Given information:

The statement, “If A is orthogonally diagonalizable, then A is symmetric.”

Theorem Used:

An n×n matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.

The given statement is true.

By the above theorem, it is clear that since the matrix A is orthogonally diagonalizable, so it must also be symmetric.

Hence, given statement is true.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 7, Problem 1SE

To determine

To decide: if the given statement is true or false.

Expert Solution & Answer

Answer to Problem 1SE

True.

Explanation of Solution

Given information:

The statement, “If A is orthogonally diagonalizable, then A is symmetric.”

Theorem Used:

An n×n matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.

The given statement is true.

By the above theorem, it is clear that since the matrix A is orthogonally diagonalizable, so it must also be symmetric.

Hence, given statement is true.

Answer 6

Chapter 7, Problem 1SE

To determine

To decide: if the given statement is true or false.

Expert Solution & Answer

Answer to Problem 1SE

True.

Explanation of Solution

Given information:

The statement, “If A is orthogonally diagonalizable, then A is symmetric.”

Theorem Used:

An n×n matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.

The given statement is true.

By the above theorem, it is clear that since the matrix A is orthogonally diagonalizable, so it must also be symmetric.

Hence, given statement is true.

Answer 7

Chapter 7, Problem 1SE

To determine

To decide: if the given statement is true or false.

Answer 8

Expert Solution & Answer

Answer to Problem 1SE

True.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Given information:

The statement, “If A is orthogonally diagonalizable, then A is symmetric.”

Theorem Used:

An n×n matrix A is orthogonally diagonalizable if and only if A is a symmetric matrix.

The given statement is true.

By the above theorem, it is clear that since the matrix A is orthogonally diagonalizable, so it must also be symmetric.

Hence, given statement is true.

Answer 12

To decide: if the given statement is true or false.

Videos

To decide: if the given statement is true or false.

Answer to Problem 1SE

Explanation of Solution

Want to see more full solutions like this?

Chapter 7 Solutions