If a matrix A is 3 x 7, and we know nothing else about it, explain why its columns must be linearly dependent. (Use an explanation that does not rely solely on statements about pivots or the reduced row echelon form of A.)

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A: Since you asked for part 1, so I solved only part 1.

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Q: Using matrix multiplication, determine the method which maximizes the profit. *

A: Here we will use matrix multiplication method.

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A: Given that, A is a 7 x 5 matrix.Now, how many pivot columns must A have if its columns are linearly…

Q: If a matrix A is 4 x 7 and the product AB is 4×4, what is the size of B? The size of B is X

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Q: 1 -3 5 Let A = -3 -4 1 2 6 1 -1 -8 1 with augmented matrix [A]b] is always consistent. How many…

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Q: Formulate the situation in matrix form. Be sure to indicate the meaning of your rows and columns.…

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A: Given that If the columns of an 98×12 matrix form a linearly independent set then We have to find…

Q: Suppose A is a 7x5 matrix. How many pivot columns must A have if its columns are linearly…

A: If A is m×n matrix with m>n then number of pivot columns is equal to number of linearly…

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A: Given: A man has twenty coins consisting of dimes and quarters. If the dimes were the quarters and…

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Q: 2. Find using elementary row operations the inverse of the coefficient matrix of the system X1 + 2x2…

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Q: Suppose a 31 x 42 coefficient matrix for a linear system has thirty-one pivot columns. a. Is the…

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