000			03526cam a2200457 i 4500
003			OSt
005			20260831101050.0
008			140325t20162016maua 001 0 eng
020			_a978-93-570-5968-8
020			_a032198238X
040			_cAKCL
042			_apcc
082	0	0	_a512.5 _bLAY-L5
100	1		_aLay, David C.
100	1		_aSteven R. Lay
100	1		_aJudith J. McDonald
245	1	0	_aLinear algebra and its applications / _cDavid C. Lay, University of Maryland, College Park, with Steven R. Lay, Lee University, Judith J. McDonald, Washington State University.
250			_aFifth edition.
260			_aNoida: _bPearson India Education Services Pvt. Ltd., _c2025
264		1	_aBoston : _bPearson, _c[2016]
264		4	_c©2016
300			_aXL,495 pages. 1 volume (various pagings) :
300			_c26 cm
336			_atext _2rdacontent
337			_aunmediated _2rdamedia
338			_avolume _2rdacarrier
500			_aIncludes index.
520			_aWith traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand.Features - More than 25% of the exercises are new or updated, especially computational exercises. Linear transformations form a “thread” that is woven into the fabric of the text. Their use enhances the geometric flavor of the text. A modern view of matrix multiplication is presented, with definitions and proofs focusing on the columns of a matrix rather than on the matrix entries. Focus on visualization: Each major concept in the course is given a geometric interpretation because many students learn better when they can visualize an idea. Numerical Notes provide a realistic slant to the text. Students are reminded frequently of issues that arise in real-life applications of linear algebra. Applications are varied and relevant. Each chapter opens with an introductory vignette that sets the state for some applications of linear algebra and provides a motivation for developing the mathematics that follows. Exercise sets are meticulously constructed and consist of the following elements. Each section features an abundant supply of exercises, ranging from routine computations to conceptual questions to applications. Innovative questions pinpoint conceptual difficulties that the authors have found in student papers over the years.
650		0	_aMathematics
650		0	_aAlgebra
650		0	_aLinear Algebra
650		0	_aAlgebras, Linear
650		0	_vTextbooks.
700	1		_aLay, Steven R., _d1944-
700	1		_aMcDonald, Judith.
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_cBK
942			_2ddc
942			_2ddc _n0
999			_c45060 _d45060