If [(x-y,2x+z)(2x-y,3z+w)]=[(-1,5)] then the value of (x + y + z + w) is: 1. 8 2. 9 3. 10 4. 12

Question

KnowledgeBoat · Accepted Answer

Given, Solving for x and y: ∴ 2x - y = 0 ⇒ y = 2x ...(1) ∴ x - y = -1 ...(2) Substituting value of y from equation (1) in x - y = -1, we get: ⇒ x - 2x = -1 ⇒ -x = -1 ⇒ x = 1. Substituting value of x in equation(1), we get: ⇒ y = 2(1) ⇒ y = 2. Solving for w and z: ∴ 2x + z = 5 ⇒ 2(1) + z = 5 ⇒ 2 + z = 5 ⇒ z = 5 - 2 ⇒ z = 3. ∴ 3z + w = 13 ⇒ 3(3) + w = 13 ⇒ 9 + w = 13 ⇒ w = 13 - 9 ⇒ w = 4. ∴ x + y + z + w = 1 + 2 + 3 + 4 = 10. Hence, option 3 is the correct option.

Mathematics

If [(x-y,2x+z)(2x-y,3z+w)]=[(-1,5)] then the value of (x + y + z + w) is: 1. 8 2. 9 3. 10 4. 12

Matrices

Related Questions

Which of the following statements is true for the transpose of a matrix?
The number of rows is same as that of the given matrix.
The number of columns is same as that of the given matrix.
The order is same as that of the given matrix.
The number of elements is same as that of the given matrix.

Mathematics

If [(x-y,2x+z)(2x-y,3z+w)]=[(-1,5)] then the value of (x + y + z + w) is: 1. 8 2. 9 3. 10 4. 12

Matrices

Related Questions

Which of the following statements is true for the transpose of a matrix?The number of rows is same as that of the given matrix.The number of columns is same as that of the given matrix.The order is same as that of the given matrix.The number of elements is same as that of the given matrix.

Which of the following statements is true for the transpose of a matrix?
The number of rows is same as that of the given matrix.
The number of columns is same as that of the given matrix.
The order is same as that of the given matrix.
The number of elements is same as that of the given matrix.