B = rref (B) = -3 -11 2 3 -1 -2 -4 2 (a) Find the reduced row echelon form of the matrix B (b) How many pivot columns does B have? (c) Do the vectors in the set -11 2 [CH]} you can explain and justify your answer. choose (d) Are the vectors in the set -11 OOB -3 independent? Be sure you can explain and justify your answer. choose 2 span R³ ? Be sure -2 linearly 2 û

Q: Express the following system of linear equations as a vector equation: -4x1+3x2+6x3 = -7 -3x+3x₂-4x3…

A:

Q: How would you write the dimension of a matrix with 7 columns and 3 rows?

A: Given, A matrix has 7 columns   and  3 rows  We have to find the dimension of a matrix.

Q: True or False? The equation Ax = is consistent if the augmented matrix row. 16 has a pivot position…

A: The equation AX=b is consistent if the augmented matrix A|b has a pivot position in every row. We…

Q: How to determine the row rank and nullity of the SPL as attached example?

A:

Q: Suppose column 1 + column 3 + column 5 = 0 in a 4 by 5 matrix with four pivots. Which column has no…

A: Null space: A set X of vectors is said to be the null space of the matrix A such that AX=0 and X is…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

A: Given matrix Want to express b as a linear combinations of columns on matrix A.

Q: plz explain is it true or false?.The pivot positions in a matrix change if row interchanges (also…

A: We are given the following statement: The pivot positions in a matrix change if row interchanges…

Q: 9. Solve the following system using a matrix and converting the matrix to reduced row echelon form,…

A: The given equations are;  3x-2y+5z=14 x-y+3z=5 4x+y+6z=1.

Q: (v) 0 -1 0 1 0 0 ma ~ 0 ( 1 a -1 0 0 0 a 0 0 a 1 0 1 000

A: Given: A matrix .To find: The Row operations by which the matrix is reduced to

Q: Give the reduced row echelon form of the augmented matrix. [14 -2 150] 0-5 3 100 26 -3 200 000 J

A:

Q: For Square Matrix A, B of the same size is it true (A + B)-1 = A-1 + B-l? Explain

A:

Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…

Q: Solve using augmented matrix methods 6x¹+    3x²=9 -4¹-      2x²=-6

A: Answer...The system have infinite solutions.Solution set is ...X1= (3-t)/2X2=t               here,…

Q: 16: Shown below are two steps of the process to convert a matrix into Echelon form. 3 5 -2 1 니 7 ㅣ니…

A:

Q: How do I know if I can invert a matrix or not? What is a square matrix?

A: Ans(i):

Q: 5) Given the function f(z) = 5+ 6z -4z2, find and simplify the difference quotient. f(z +h) – f(x)…

A: we have to find the difference quotient for the following function

Q: [1] Describe the geometry of the solution set for the matrix equation Ax 2 [3]

A: Linear system of the form Ax=b, where b is not equal to zero is called non-homogeneous system of…