diff --git a/src2/section-CRS.xml b/src2/section-CRS.xml index 0ac127a..0cfb169 100644 --- a/src2/section-CRS.xml +++ b/src2/section-CRS.xml @@ -1190,6 +1190,7 @@ + Span of a column space

Write the column space of the matrix below as the span of a set of three vectors and explain your choice of method.\begin{bmatrix} 1 & 3 & 1 & 3\\ @@ -1199,11 +1200,13 @@ + Column space of a nonsingular matrix

Suppose that A is an n\times n nonsingular matrix. What can you say about its column space?

 + Vector in row space?

Is the vector \colvector{0\\5\\2\\3} in the row space of the following matrix? Why or why not?\begin{bmatrix} 1 & 3 & 1 & 3\\ diff --git a/src2/section-FS.xml b/src2/section-FS.xml index a603415..9c7a346 100644 --- a/src2/section-FS.xml +++ b/src2/section-FS.xml @@ -989,6 +989,7 @@ + Calculate element of left null space

Find a nontrivial element of the left null space of A.A= \begin{bmatrix} @@ -999,6 +1000,7 @@ + Calculate parts of extended echelon form

Find the matrices C and L in the extended echelon form of A.A= \begin{bmatrix} @@ -1009,6 +1011,7 @@ + Significance of Theorem FS

Why is a great conclusion to ?

 diff --git a/src2/section-MINM.xml b/src2/section-MINM.xml index 7dc19a8..530c31a 100644 --- a/src2/section-MINM.xml +++ b/src2/section-MINM.xml @@ -608,6 +608,7 @@ + Calculate inverse, solve system

Compute the inverse of the coefficient matrix of the system of equations below and use the inverse to solve the system. 4x_1 + 10x_2 &= 12 @@ -616,6 +617,7 @@ + Inverse doesn't exist

In the reading questions for you were asked to find the inverse of the 3\times 3 matrix below.\begin{bmatrix} 2 & 3 & 1\\ @@ -625,6 +627,7 @@ + Unitary or not

Is the matrix A unitary? Why?A=\begin{bmatrix} \frac{1}{\sqrt{22}}\left(4+2i\right) & \frac{1}{\sqrt{374}}\left(5+3i\right) \\ diff --git a/src2/section-MISLE.xml b/src2/section-MISLE.xml index a06cb18..77616ce 100644 --- a/src2/section-MISLE.xml +++ b/src2/section-MISLE.xml @@ -775,6 +775,7 @@ + Calculate inverse of a <m>2\times 2</m> matrix

Compute the inverse of the matrix below.\begin{bmatrix} -2 & 3\\ @@ -783,6 +784,7 @@ + Calculate inverse of a <m>3\times 3</m> matrix

Compute the inverse of the matrix below.\begin{bmatrix} 2 & 3 & 1\\ @@ -792,6 +794,7 @@ + Title of Theorem SS

Explain why has the title it does. (Do not just state the theorem, explain the choice of the title making reference to the theorem itself.)

 diff --git a/src2/section-MM.xml b/src2/section-MM.xml index 0121cb1..6c9d563 100644 --- a/src2/section-MM.xml +++ b/src2/section-MM.xml @@ -997,6 +997,7 @@ + Matrix-vector product

Form the matrix-vector product of \begin{bmatrix} @@ -1010,6 +1011,7 @@ + Calculate product of two matrices

Multiply together the two matrices below (in the order given). \begin{bmatrix} @@ -1028,6 +1030,7 @@ + Matrix-vector product form of a linear system

Rewrite the system of linear equations below as a vector equality and using a matrix-vector product. (This question does not ask for a solution to the system. But it does ask you to express the system of equations in a new form using tools from this section.) 2x_1 + 3x_2 - x_3 &= 0 diff --git a/src2/section-MO.xml b/src2/section-MO.xml index dd6919f..fb5f0d8 100644 --- a/src2/section-MO.xml +++ b/src2/section-MO.xml @@ -999,6 +999,7 @@ + Calculate sum and scalar mult of matrices

Perform the following matrix computation.(6) \begin{bmatrix} @@ -1016,11 +1017,13 @@ + Vector space of matrices

reminds you of what previous theorem? How strong is the similarity?

 + Calculate transpose

Compute the transpose of the matrix below.\begin{bmatrix} 6 & 8 & 4 \\