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Chapter 06 practice bank

100 questions:
Linear algebra

Solve on paper first. Reveal only the final answer when you want to check yourself. There are no worked solutions in this bank by design.

34 easy 33 medium 33 advanced

EasyMatrix shapelinear-algebra-001

What is the shape of [[1,2,3],[4,5,6]]?

EasyMatrix shapelinear-algebra-002

What is the shape of a matrix with 5 rows and 2 columns?

EasyMatrix entrieslinear-algebra-003

For A=[[3,8],[−1,4],[6,0]], find a₃₂.

EasyMatrix columnslinear-algebra-004

Give the second column of [[1,2,3],[4,5,6]].

EasyMatrix rowslinear-algebra-005

Give the first row of [[7,−2],[0,5],[1,9]].

EasyMatrix dimensionslinear-algebra-006

A matrix maps ℝ⁴ to ℝ⁷. What shape does it have?

EasyMatrix additionlinear-algebra-007

Add A=[[1,2],[3,-2]] and B=[[2,0],[1,4]].

EasyMatrix additionlinear-algebra-008

Add A=[[2,1],[3,-1]] and B=[[2,1],[0,4]].

EasyMatrix additionlinear-algebra-009

Add A=[[3,0],[3,0]] and B=[[2,2],[-1,4]].

EasyMatrix additionlinear-algebra-010

Add A=[[4,-1],[3,1]] and B=[[2,3],[-2,4]].