1. Explain why the set M = {e,f,g} together with binary operations on M is a defined table (picture) does not form a group? (I will sent a picture regarding to this question)

2. Let (G, ◦) be a group. Prove that in any row of the table for the group operation

◦ elements of G cannot be repeated. Does the same statement also apply to table columns?

3. In the vector space Z47 over Z7 you can find the basis of the subspace U ∩ V , where

U = span{(3,1,4,5)T, (2,2,1,6)T, (1,0,0,1)T}

and

V = span{(1,2,4,1)T, (2,6,6,3)T, (5,3,6,5)T}.

# Category: Linear Algebra

Why deontology still important in contemporary healthcare practice?

How does utilitarianism affect healthcare decision making?

Why deontology still important in contemporary healthcare practice?

How does utilitarianism affect healthcare decision making?

The a-s-s-e-s-s-m-e-n-t will be 5 calculation questions.

Please see the questions shown in the screenshot. I will send you all the info after being hired, eg PPTs, student access etc. Please send a publish in 12hrs -1 day time, day 2, and day 3 as well. + Will need to publish some questions to ask the teacher and revise base on feedback (Send bk ard in 1 day max)

1.We say that two matrices A and B are row-equivalent if one can be obtained from the other by a finite sequence of elementary row operation. Show that if A and B are row-equivalent matrices, then the homogeneous systems of linear equations Ax = 0 and Bx = 0 have exactly same solutions.

2. Suppose R and R’ are 2 × 3 row-reduced echelon matrices and that the systems RX = 0 and R’X = 0 have exactly the same solutions. Prove that R = R’

3. Suppose A is a 2 × 1 matrix and that B is a 1 × 2 matrix. Prove that C = AB is not invertible.

4. For each matrix use elementary row operations to discover whether it is invertible, and to find the inverse in case it is.

a) 2 5 −1

4 −1 2

6 4 1

b) 1 −1 2

3 2 4

0 1 −2

c) 1 2 3 4

0 2 3 4

0 0 3 4

0 0 0 4

1.We say that two matrices A and B are row-equivalent if one can be obtained from the other by a finite sequence of elementary row operation. Show that if A and B are row-equivalent matrices, then the homogeneous systems of linear equations Ax = 0 and Bx = 0 have exactly same solutions.

2. Suppose R and R’ are 2 × 3 row-reduced echelon matrices and that the systems RX = 0 and R’X = 0 have exactly the same solutions. Prove that R = R’

3. Suppose A is a 2 × 1 matrix and that B is a 1 × 2 matrix. Prove that C = AB is not invertible.

4. For each matrix use elementary row operations to discover whether it is invertible, and to find the inverse in case it is.

a) 2 5 −1

4 −1 2

6 4 1

b) 1 −1 2

3 2 4

0 1 −2

c) 1 2 3 4

0 2 3 4

0 0 3 4

0 0 0 4

1.We say that two matrices A and B are row-equivalent if one can be obtained from the other by a finite sequence of elementary row operation. Show that if A and B are row-equivalent matrices, then the homogeneous systems of linear equations Ax = 0 and Bx = 0 have exactly same solutions.

2. Suppose R and R’ are 2 × 3 row-reduced echelon matrices and that the systems RX = 0 and R’X = 0 have exactly the same solutions. Prove that R = R’

3. Suppose A is a 2 × 1 matrix and that B is a 1 × 2 matrix. Prove that C = AB is not invertible.

4. For each matrix use elementary row operations to discover whether it is invertible, and to find the inverse in case it is.

a) 2 5 −1

4 −1 2

6 4 1

b) 1 −1 2

3 2 4

0 1 −2

c) 1 2 3 4

0 2 3 4

0 0 3 4

0 0 0 4

2. Suppose R and R’ are 2 × 3 row-reduced echelon matrices and that the systems RX = 0 and R’X = 0 have exactly the same solutions. Prove that R = R’

3. Suppose A is a 2 × 1 matrix and that B is a 1 × 2 matrix. Prove that C = AB is not invertible.

4. For each matrix use elementary row operations to discover whether it is invertible, and to find the inverse in case it is.

a) 2 5 −1

4 −1 2

6 4 1

b) 1 −1 2

3 2 4

0 1 −2

c) 1 2 3 4

0 2 3 4

0 0 3 4

0 0 0 4

This is a question about two-variable linear mathematical equations, these practice questions are in Indonesian. for grade 8 junior high school semester 1 you need this to study

Multiple-choice questions that are easy for experts to complete. I made it 8 hours as I don’t need it as soon as possible