Rank Of A Matrix , How To Check Weather It Is Singular Or Non-singular

Entertainment CLICK ON https://www.youtube.com/watch?v=JdN01XY-qn4 CLICK ON https://www.youtube.com/watch?v=fdiQjmJW9Gc CLICK ON https://www.youtube.com/watch?v=_ER3vVq8g_Y CLICK ON https://www.youtube.com/watch?v=Z_BX4E3ENxw CLICK ON https://www.youtube.com/watch?v=66OwoBZsgyY CLICK ON https://www.youtube.com/watch?v=bxZ_OqHqC5s CLICK ON https://www.youtube.com/watch?v=Cak1Ct79KXw CLICK ON https://www.youtube.com/watch?v=CeTIJE--QEw CLICK ON https://www.youtube.com/watch?v=ukn59P4-9Fk The maximum number of linearly independent vectors in a matrix is equal to the number of non-zero rows in its row echelon matrix. Therefore, to find the rank of a matrix, we simply transform the matrix to its row echelon form and count the number of non-zero rows Identity Matrix: IA = AI = A I is unique. Transpose of Identity: IT = I Product of Identity with itself: II = I Identity in the Middle: AIB = AB Matrix Inverse: AA-1 = A-1A = I Singular and non-singular matrices. Uniqueness of matrix inverse. Inverse of a Product: (AB)-1 = B-1 A-1 Inverse of a Matrix Transpose: (A-1)T = (AT)-1 Determinant of a singular matrix. GOOD ONE calculate rank of a matrix for different problems briefly CBSE Class X Exams CBSE Class XII ExamS ICSC Class X ExamS , ICSC Class XII Exams State Board Exams Bank Competitive Exam UPSC Competitive Exams SSC Competitive Exams Defence Competitive Exams L.I.C/ G. I.C Competitive Exams Railway Competitive Exam University Grants Commission (UGC) Common Aptitude Test (CAT) Career Aptitude Test (IT Companies) etc. for more https://www.youtube.com/watch?v=ycjwpfmd4sM