# HG changeset patch # User Rob Beezer # Date 1352869772 28800 # Node ID 9dc9c70d7cc31e760693db80ff677a8cf0dd8343 # Parent b2866fc1607b93f91a0157c9a6d6f3d4ab0f279b LaTeX rules for fill-in-the-blank exercises (Julie Nelson) diff --git a/changes.txt b/changes.txt --- a/changes.txt +++ b/changes.txt @@ -47,6 +47,7 @@ Typo: Section LT, after Example MFLT, "not an accident" (Kyle Whitcomb) Typo: Section SLT, before Diagram SLT, domain/codomain confusion (Kyle Whitcomb) Typo: Section IVLT, after Definition IVS, "given", "a" reversed (Kyle Whitcomb) +Typo: LaTeX rules for fill-in-the-blank exercises (Julie Nelson) MAJOR SOURCE FORMAT CHANGE ~~~~~~~~~~~~~~~~~~~~~~~~~~ diff --git a/src/section-ILT.xml b/src/section-ILT.xml --- a/src/section-ILT.xml +++ b/src/section-ILT.xml @@ -1313,7 +1313,7 @@ -Suppose $U$ and $V$ are vector spaces. Define the function $\ltdefn{Z}{U}{V}$ by $\lt{T}{\vect{u}}=\zerovector_{V}$ for every $\vect{u}\in U$. Then by , $Z$ is a linear transformation. Formulate a condition on $U$ that is equivalent to $Z$ being an injective linear transformation. In other words, fill in the blank to complete the following statement (and then give a proof): $Z$ is injective if and only if $U$ is \rule{1in}{1pt}. (See , .) +Suppose $U$ and $V$ are vector spaces. Define the function $\ltdefn{Z}{U}{V}$ by $\lt{T}{\vect{u}}=\zerovector_{V}$ for every $\vect{u}\in U$. Then by , $Z$ is a linear transformation. Formulate a condition on $U$ that is equivalent to $Z$ being an injective linear transformation. In other words, fill in the blank to complete the following statement (and then give a proof): $Z$ is injective if and only if $U$ is . (See , .) diff --git a/src/section-IVLT.xml b/src/section-IVLT.xml --- a/src/section-IVLT.xml +++ b/src/section-IVLT.xml @@ -1373,7 +1373,7 @@ -Suppose $U$ and $V$ are vector spaces. Define the function $\ltdefn{Z}{U}{V}$ by $\lt{T}{\vect{u}}=\zerovector_{V}$ for every $\vect{u}\in U$. Then by , $Z$ is a linear transformation. Formulate a condition on $U$ and $V$ that is equivalent to $Z$ being an invertible linear transformation. In other words, fill in the blank to complete the following statement (and then give a proof): $Z$ is invertible if and only if $U$ and $V$ are \rule{1in}{1pt}. (See , , .) +Suppose $U$ and $V$ are vector spaces. Define the function $\ltdefn{Z}{U}{V}$ by $\lt{T}{\vect{u}}=\zerovector_{V}$ for every $\vect{u}\in U$. Then by , $Z$ is a linear transformation. Formulate a condition on $U$ and $V$ that is equivalent to $Z$ being an invertible linear transformation. In other words, fill in the blank to complete the following statement (and then give a proof): $Z$ is invertible if and only if $U$ and $V$ are . (See , , .) diff --git a/src/section-SLT.xml b/src/section-SLT.xml --- a/src/section-SLT.xml +++ b/src/section-SLT.xml @@ -1226,7 +1226,7 @@ -Suppose $U$ and $V$ are vector spaces. Define the function $\ltdefn{Z}{U}{V}$ by $\lt{T}{\vect{u}}=\zerovector_{V}$ for every $\vect{u}\in U$. Then by , $Z$ is a linear transformation. Formulate a condition on $V$ that is equivalent to $Z$ being an surjective linear transformation. In other words, fill in the blank to complete the following statement (and then give a proof): $Z$ is surjective if and only if $V$ is \rule{1in}{1pt}. (See , .) +Suppose $U$ and $V$ are vector spaces. Define the function $\ltdefn{Z}{U}{V}$ by $\lt{T}{\vect{u}}=\zerovector_{V}$ for every $\vect{u}\in U$. Then by , $Z$ is a linear transformation. Formulate a condition on $V$ that is equivalent to $Z$ being an surjective linear transformation. In other words, fill in the blank to complete the following statement (and then give a proof): $Z$ is surjective if and only if $V$ is . (See , .)