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Lesson Posted on 02 Apr Tuition Tuition/Engineering Diploma Tuition/Applied Math Exam Coaching/CSIR NET +2 Matrices Tuition/BSc Tuition/BSc Mathematics less

Rank of a Matrix

EduDais Academy

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Rank of a matrix is a positive number that tells us how many rows are independent in that matrix, i.e., how many rows are not a linear combination of other rows or not a multiple of other rows. It helps us to solve a system of linear equations and to determine whether the solution exists or not. If... read more

Rank of a matrix is a positive number that tells us how many rows are independent in that matrix, i.e., how many rows are not a linear combination of other rows or not a multiple of other rows.

It helps us to solve a system of linear equations and to determine whether the solution exists or not. If the solution exists, then it is unique or not can also be determined with the help of rank.

Rank should always be greater than or equal to 1 and less than or equal to the minimum of no. of rows and no. of columns of the matrix.

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Answered on 23/06/2017 Matrices Tuition/Class IX-X Tuition

How do I prepare for 10th board? How long I should study for ICSE board exam? And should I start to take tuitions?

Rashmitm Rashmi

Tutor

Before starting studying, first prepare the time table of your own, and mark time till you have to complete the topic and complete it in that time only. And study upto date ,don't postpone. If you make all these then no need of tuition. You will score the best.
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Answered on 12/09/2017 Matrices

How do I prepare for 10th board?How long I should study for ICSE board exam? And should I start to take tuitions?

Rajendran Shanmugavadivelu

Mathematics

Regular study of each subjects will help you a lot. Make sure that your study time for any three subjects would be 5 hours. You must do maths two hours daily. any two subjects other than maths each 1 hr 30 min. morning time is the best time to study. at least schedule two hours in the morning. Laws,... read more
Regular study of each subjects will help you a lot. Make sure that your study time for any three subjects would be 5 hours. You must do maths two hours daily. any two subjects other than maths each 1 hr 30 min. morning time is the best time to study. at least schedule two hours in the morning. Laws, its proofs must be mugged and reproduced as given in the text. These five hours of study is apart from school timings and tuition timings. read less
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Answered on 14/08/2017 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Matrices

Define transpose of matrix?

Devendra Singh

Tutor

Replace Aij with Aji... Where Aij is the element of A matrix corresponding to i'th row and j'th column.
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Answered on 02/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Matrices

What do you mean by order of matrix?

Rajesh Chilla

Math Teacher

The no. of rows and columns in matrix.
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Answered on 08/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Matrices

Define column matrix and row matrix?

Shreyans

Software Engineer

Column matrix : 1 or more than 1 row and only 1 column matrix called column matrix . Row matrix : 1 or more than 1 column and only 1 row matrix called row matrix . e.g it's 3*1.
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Answered on 01/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Matrices

Define square matrix?

Rajesh Chilla

Math Teacher

A matrix consist of m rows and n column, where m = n.
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Answered on 27/11/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Matrices

What do you mean by equality of matrix?

Tapas Bhattacharya

Tutor

If each matrix has:- (1) the same number of rows, (2) the same number of columns and (3) corresponding elements within each matrix are equal then the two matrices are said to be equal.
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Answered on 03/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Matrices

If A = [9 0 8], B = [6 8 9] then find AB, BA. Show that AB = BA?

Sarvajeet Kumar

An Experienced Trainer

AB=BA=O Where O=Zero matrix.
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Answered on 08/12/2016 CBSE/Class 12/Science/Mathematics Tuition/Class XI-XII Tuition (PUC) Matrices

If A = [6 8 4], B = [0 5 8], C = [5 23 31]. Then find A(BC), (AB)C?

Shreyans

Software Engineer

First of all it's not possible to multiply matrix as per rule. If I want to multiply tow matrix first matrix column and second matrix row should be same.
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