It seems like there's a formatting issue with your question, making it difficult to understand. However, I'll try to provide a general guide on how to find the coordinate vectors with respect to the given bases.

Given a vector x and a basis B, the coordinate vector of x with respect to B, denoted [x]B, is the vector of scalars c1, c2, ..., cn such that x = c1*b1 + c2*b2 + ... + cn*bn, where b1, b2, ..., bn are the vectors in the basis B.

Here's a step-by-step guide:

1. Write down the vector x and the basis B.

2. Set up the equation x = c1*b1 + c2*b2 + ... + cn*bn.

3. This equation gives you a system of linear equations. Solve this system to find the scalars c1, c2, ..., cn.

4. The coordinate vector [x]B is then (c1, c2, ..., cn).

Please provide the correct formatting or the correct vectors and bases so I can provide a more specific answer.

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It seems like there's a formatting issue with your question, making it difficult to understand. However, I'll try to provide a general guide on how to find the coordinate vectors with respect to the given bases.

Given a vector x and a basis B, the coordinate vector of x with respect to B, denoted [x]B, is the vector of scalars c1, c2, ..., cn such that x = c1*b1 + c2*b2 + ... + cn*bn, where b1, b2, ..., bn are the vectors in the basis B.

Here's a step-by-step guide:

1. Write down the vector x and the basis B.

2. Set up the equation x = c1*b1 + c2*b2 + ... + cn*bn.

3. This equation gives you a system of linear equations. Solve this system to find the scalars c1, c2, ..., cn.

4. The coordinate vector [x]B is then (c1, c2, ..., cn).

Please provide the correct formatting or the correct vectors and bases so I can provide a more specific answer.

Knowee AI · Accepted Answer

It seems like there's a formatting issue with your question, making it difficult to understand. However, I'll try to provide a general guide on how to find the coordinate vectors with respect to the given bases.

Given a vector x and a basis B, the coordinate vector of x with respect to B, denoted [x]B, is the vector of scalars c1, c2, ..., cn such that x = c1*b1 + c2*b2 + ... + cn*bn, where b1, b2, ..., bn are the vectors in the basis B.

Here's a step-by-step guide:

1. Write down the vector x and the basis B.

2. Set up the equation x = c1*b1 + c2*b2 + ... + cn*bn.

3. This equation gives you a system of linear equations. Solve this system to find the scalars c1, c2, ..., cn.

4. The coordinate vector [x]B is then (c1, c2, ..., cn).

Please provide the correct formatting or the correct vectors and bases so I can provide a more specific answer.

Consider the following.x = 2 0−2, = 1 00, 0 10, 0 01, = 1 11, 0 11, 0 01 in ℝ3(a)Find the coordinate vectors [x] and [x] of x with respect to the bases and , respectively.[x] = [x] =

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