These University vector spaces and linear maps multiple choice questions check your understanding of vector spaces and linear maps with 10 questions for pupils aged 18-19. Each question has four answers, and the right one is explained as soon as you choose.
University vector spaces and linear maps multiple choice questions: the 10 questions
Which is a subspace of \(\mathbb R^2\)?
\(\dim\mathbb R^4=\)
Three vectors in \(\mathbb R^2\) are
Rank-nullity: for \(T:\mathbb R^5\to\mathbb R^3\) of rank 3, the nullity is
\(T\) is injective iff
The span of \((1,0,0)\) and \((0,1,0)\) is
\(\dim P_2=\)
If \(A\) is \(3\times3\) with \(\det A\ne0\), its columns are
The matrix of \(T(x,y)=(3x,\,x+y)\) is
A linear map must send the zero vector to
How to use these University vector spaces and linear maps multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the vector spaces and linear maps lesson.
Finally, practise more with the vector spaces and linear maps worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.
Similar pages
LessonVector spaces and linear maps – university Year 1 maths lesson to download as PDF
WorksheetVector spaces and linear maps – university Year 1 maths worksheet with answers to download as PDF
AnswersVector spaces and linear maps – university Year 1 maths worksheet answers to download as PDF
QuizVector spaces and linear maps – university Year 1 maths quiz to download as PDF
TestVector spaces and linear maps – university Year 1 maths test to download as PDF
Test answersVector spaces and linear maps – university Year 1 maths test answers to download as PDF
StartersVector spaces and linear maps – university Year 1 maths starters to download as PDFOther chapters in this level
LessonLogic, sets and proof techniques – university Year 1 maths lesson to download as PDF
LessonFunctions, limits and continuity – university Year 1 maths lesson to download as PDF
LessonDifferentiation and its applications – university Year 1 maths lesson to download as PDF
LessonIntegration and the fundamental theorem of calculus – university Year 1 maths lesson to download as PDF
LessonSequences and series convergence – university Year 1 maths lesson to download as PDF
LessonVectors and systems of linear equations – university Year 1 maths lesson to download as PDF
LessonMatrices and determinants – university Year 1 maths lesson to download as PDF
LessonEigenvalues and eigenvectors – university Year 1 maths lesson to download as PDF