Q. 425.0( 1 Vote )

Find the matrix A such that


Answer :

Given,



As A is multiplied with a matrix of order 3×2 and gives a resultant matrix of order 3×3


For matrix multiplication to be possible A must have 2 rows and as resultant matrix is of 3rd order A must have 3 columns


A is matrix of order 2×3


Let A = where a, b, c, d, e and f are unknown variables.



By matrix multiplication we have-



By equating the elements of 2 equal matrices we get-


a = 1 ; b = -2 and c = -5


also,


2a – d = -1 d = 2a + 1 = 2 + 1 = 3


d = 3


2b – e = -8 e = 2b + 8 = -4 + 8 = 4


e = 4


Similarly, f = 2c + 10 = 0


A =


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Types of Matrices & Properties51 mins
Determining a determinant63 mins
Determinants of Matrices of different order59 mins
Lecture on Product of Determinants58 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Interactive Quiz on Properties of Determinants43 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses