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Questions and Answers
What is the representation of the system Ax = b in terms of linear combination?
What is the representation of the system Ax = b in terms of linear combination?
- Ax = a1 + a2 +...+ an = b
- Ax = x1 a1 + x2 a2 +...+ xn an
- Ax = x1 a1 + x2 a2 +...+ xn an = b (correct)
- Ax = x1 + x2 +...+ xn = b
What does the matrix product Ax represent?
What does the matrix product Ax represent?
- A division operation
- A linear combination of column vectors (correct)
- An exponentiation operation
- A linear combination of row vectors
When is the system Ax = b considered consistent?
When is the system Ax = b considered consistent?
- When b can be expressed as a linear combination of the column vectors with coefficients as solutions (correct)
- When there is no solution
- When b is equal to a single column vector
- When the linear combination coefficients are irrelevant
What does x1 [ a11 a21 â‹® am1 ] + x2 [ a12 a22 â‹® am2 ] +...+ xn [ a1n a2n â‹® amn] represent?
What does x1 [ a11 a21 â‹® am1 ] + x2 [ a12 a22 â‹® am2 ] +...+ xn [ a1n a2n â‹® amn] represent?
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Which matrices are involved in representing the system Ax = b in a more convenient way?
Which matrices are involved in representing the system Ax = b in a more convenient way?
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How is the system Ax = b more conveniently represented using matrices?
How is the system Ax = b more conveniently represented using matrices?
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