Find a basis for the row space and the rank of the matrix. 1-6-2 1 5 6 A = 1 16 14 (a) basis for the row space (888 = } ⇓ 1 (b) rank of the matrix

Explain what is meant by the minor of an entry in a square matrix.

Determine if the statement is true or false. If the statement is false, then correct it and make it true. For the product of two matrices to be defined, the number of rows of the first matrix must equal the number of columns of the second matrix.

Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the same for each product but varies by warehouse because of the distances involved. It costs $0.75 to distribute one unit from warehouse 1 and $1.00 to distribute one unit from warehouse 2. Organize these costs into a matrix C and then use matrix multiplication to compute the total cost of distributing each product.

Explain the difference between the row-echelon form and the reduced row-echelon form of a matrix.

express as a vector

Construct a 3 by 3 matrix whose column space contains ( 1, 1, 0) and ( 1, 0, 1) but not (1, 1, 1). Construct a 3 by 3 matrix whose column space is only a line.

The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 – 5x X3 takes the form a b. d e C e f, for some real numbers а, b, с, d, e,f. Enter these values, in order. A

How would I answer this problem please show steps