Matrix Reduce

To reduce a matric into normal form of the matrix, one can use --------- transformation.

• Row only

• Column only

• Both Row and Column

• Both row or column or both

Rank of the matrix is

• 1

• 2

• 3

• zero

What is the best next step to reduce this matrix into row echelon form?[1 &\frac{7}{8} // 4 & 4]

• Replacing row 2 with -4 times row 1 plus row 2

• Interchanging row 1 and 2

• Already in row echelon form

What is the best next step to reduce this matrix into row echelon form?

• Multiply row 2 by 2

• Swap rows 1 and 2

• Already in row echelon form

How can you use row operations to find the inverse of a matrix?

• Make a matrix that has twice as many columns as rows in matrix A

• Put the original matrix (left side) and the identity matrix (right side) into the augmented matrix

• Reduce right side into row echelon form

• The left side of the reduced matrix is the inverse of the original

What is the best first step to making this matrix into row echelon form?

• Swap row 1 and 2

• Add row 1 and 2 times row 2

• Already in row echelon form

Which matrix is in reduced row-echelon form?

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Solve the following system of equations using an inverse matrix. What steps would you take to solve this problem after finding the inverse matrix?

• Multiply  $A^{-1}$  by the solution column on the right
  

• There is no calculation needed

• No Solution

What do w, x, y and z equal in this matrix subtraction?

• w = 13, x = 4, y = 7, z = 23

• w = 13, x = -4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 23

• w = 13, x = 4, y = 11, z = 17

Find the value of x and y if

• x=2 , y=5

• x=3, y=3

• x=3, y=5

• x=5, y=3