Let matrix A = , find matrix M so that AM = B.

Question

KnowledgeBoat · Accepted Answer

Given, Matrix A = Order of matrix A = 2 × 2 Order of matrix B = 2 × 1 We know that, Two matrix can be multiplied if no. of columns of 1st matrix and no. of rows in 2nd matrix are equal. Also, the resultant matrix has no. of rows equal to no. of rows of 1st matrix and no. of columns equal to no. of columns of 2nd matrix. Given, ⇒ AM = B ∴ Order of matrix M = 2 × 1. Let matrix M = . Substituting value of a in equation 4a - b = 6, we get : ⇒ 4(2) - b = 6 ⇒ 8 - b = 6 ⇒ b = 8 - 6 = 2. M = . Hence, M = .

Wages (in ₹)	No. of workers
130-140	48
140-150	34
150-160	26
160-170	32
170-180	20

Mathematics

Let matrix A = , find matrix M so that AM = B.

Matrices

Related Questions

The given figure shows a circle with center O. Points A, D, B and C lie on the circumference of the given circle and angle AOB = 108°. If arc ADB = 2 × arc BC, find :
(i) ∠ACB
(ii) ∠CAB
(iii) ∠ADB

Mathematics

Let matrix A = , find matrix M so that AM = B.

Matrices

Related Questions

The given figure shows a circle with center O. Points A, D, B and C lie on the circumference of the given circle and angle AOB = 108°. If arc ADB = 2 × arc BC, find :(i) ∠ACB(ii) ∠CAB(iii) ∠ADB

The given figure shows a circle with center O. Points A, D, B and C lie on the circumference of the given circle and angle AOB = 108°. If arc ADB = 2 × arc BC, find :
(i) ∠ACB
(ii) ∠CAB
(iii) ∠ADB