Start your trial now! First week only $4.99!*arrow_forward*

Question

Prove the given theorem:

Any square matrix can be expressed as the sum of a symmetric and a

skew symmetric matrix.

Tagged in

Math

Algebra

Find answers to questions asked by students like you.

Q: Find the minimal solution of x+2y-z = 1; 2x+3y+z = 2; 4x+7y-z = 4.

A: Given:

Q: Solve the following for the indicated variable. A = ℓw for ℓ (Area of a rectangle)

A: Given,

Q: if f(x)=3x+8 find the following f(x+h)

A: Given f(x)=3x+8.To find f(x+h) we have to plug x+h in place of x in the given equation.

Q: There are 650 students in a school. If the number of girls is 106 more than the boys, how many boys ...

A: It is given that the total number of students in a school is 650.Let consider the number of boys be ...

Q: Lucy took three tests. If her median score was 88, her mean score was 87, and the range was 11, what...

A: Given:Median = 88Mean = 87Range = 11

Q: Ā BC + (A O B ) + BC 4. a Draw a circuit for the expression: b. Evaluate the output of each gate, in...

A: Given,

Q: Label the following statements as being true or false. a) An inner product is a scalar-valued functi...

A: Hey since there are multiple subparts the first four is answered. If any other subpart is required k...

Q: x2-5x-36=0

A: To determine the solution of the quadratic equation.

Q: A doctor asks a nurse to give a patient 150 milligrams (mg) of the drug simethicone. The drug is av...

A: Given, A doctor asks a nurse to give a patient 150 milligrams (mg) of the drug simethicone. The dru...

Q: Evaluate each determinant in the manner indicated. (a) Expand -1 4 2 6 1 2 3 along the second column...

A: Click to see the answer

Q: What is mZABC? 63° LABC and LCBD are compllementary. MZABC = equation: %3D to

A: The given angles are,

Q: How do you answer question 2?

A: Given:

Q: Mike is 4 years older than Ron. In two years, the sum of their ages will be 84.How old are they now?

A: Let x and x + 4 be the present age of Ron and Mike respectively.

Q: Show that every plane through the origin in R³ may be identified with the null space of an element i...

A: Click to see the answer

Q: C of linear equations has unique solution, no solution, or infinitely many solutions?In case there i...

A: Click to see the answer

Q: 4x-3>21 or -3x>-9

A: To determine the solution of the inequality.

Q: How do I determine the range?

A: Given:

Q: Solve the following pair of linear equations by the elimination method and the substitution method: ...

A: Elimination method:the given equations are

Q: I bought 3 bags of marbles. My friend bought 1 bag and he also had 24 loose marbles. We discovered t...

A: Given that 1 bag has x marbles.You bought three bags of marbles. So there are 3*x= 3x marbles in the...

Q: Peter has a photograph that is 5 inches wide and 6 inches long. She enlarged each side by the same a...

A: Given,Peter has a photograph that is 5 inches wide and 6 inches long.Let x be the amount that she en...

Q: Simplify the following expression 8x2 -3 - 12x2 +10 +5x

A: given:

Q: Explain identity matrix along with an example.

A: Identity matrix is a matrix in which all the diagonal elements are 1’s and rest are 0’s.

Q: The sum of two numbers is 12 and their product is 35. What are the two numbers?

A: Given that, the sum of two numbers is 12 and product is 35.Let x and y denote the two numbers. That ...

Q: Solve the polynomial inequality and give your answer in interval form. 12x2 + 16x < x4

A: According to the given information it is required to solve the given inequality:

Q: C of linear equations has unique solution, no solution, or infinitely many solutions? In case there ...

A: Given:

Q: solve : log(7x+2)=log(x-9)

A: Since both sides have log, so cancel log from both sides.

Q: At the city museum, child admission is $6.10 and adult admission is $9.60. On Wednesday, 129 tickets...

A: Given:

Q: complete equation (x-(−2))(x squared + 2x + 4) =

A: The given equation is,

Q: If in a rectangle the length is increased and breadth is decreased by 2 units each, the area is redu...

A: Click to see the answer

Q: Write the equation of the circle in standard form. The coordinates of the center and the radius for ...

A: Given a circle

Q: if r=6 when s=1/3, find r when s=1

A: Click to see the answer

Q: Let T be a linear operator on an inner product space V. Let U1= T + T* and U2 = TT*. Prove that U1 =...

A: If T is an operator in an inner product space V over the field F together with an inner product, i.e...

Q: mwwwppppna tind the Probuce 5) 5122-1)0-22 +32-4)

A: To determine the product of the polynomials.

Q: Question c

A: c) Let the given day is x_th day. 2 days later of x_th day is (x+2)_th day

Q: Formulate the following problems as a part of equations, and hence find theirsolutions.Ressa can row...

A: First of all, use the speed-distance formula to calculate speed of rowing in downstream and upstream...

Q: Solve the following pair of linear equations by the substitution method. 0.2x + 0.3y = 1.30.4x + 0.5...

A: The given set of equations are

Q: For each of the following pairs of vectors u and v in R², compute the area of the parallelogram dete...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Prove that if B is symmetric, then ||B|| is the largest eigenvalue of B.

A: Calculation:To find the norm of the matrices:

Q: Prove that the total number of distinct equivalence classes of congruent n x n real symmetric matric...

A: First of all, consider the definition for the equivalence class for any matrix.The equivalence class...

Q: A washer costs 25% more than a dryer. If the store clerk gave a 10% discount for the dryer and a 20%...

A: Let x be the cost of dryer

Q: When 4 is added to two numbers, the ratio is 5:6. When 4 is subtracted from the two numbers, the rat...

A: Let the numbers are x and y.When 4 is added to two numbers, the ratio is 5:6.That can be written usi...

Q: A man weighing 600 kg has been losing 3.12% of his weight each month with some heavy exercises and e...

A: To determine the weight of man after 20 months.

Q: If the measure of ZDBE is 40° and angles EBC and ABD are congruent, what is MZEBC? Do 40° MZABC= 150...

A: Given that the measure of angle DBE is 40 degree and also the angles EBC and ABD are equal. It is gi...

Q: The cost per watt, in dollars, of installed solar panels in the United States t years after 2000 can...

A: Given:The cost per watt, in dollars of installed solar panels in United State t years after 2000Can ...

Q: Suppose you start with a number. You multiply the number by 3, add 7, divide by ½, subtract 5, and t...

A: Let ‘x’ be the number to start with. Then the given information can be written in the mathematical e...

Q: 8000$ is invested in an account that yeilds 6% interest per year. After howmany years will the accou...

A: Let after x years the account will be worth $13709.60

Q: The sum of two positive numbers is 4 and the sum of their squares is 28. What are the two numbers?

A: Let the two numbers are x and y.Given that their sum =4 So, x+y=4

Q: Find the classical adjoint of the following matrices. -4 0 0 (b) (a) (A11 A12 A21 A22) (d) /3 6 7 (c...

A: Hey since there are multiple subparts the first three is answered. If any particular subpart has to ...