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Given two matrices A and B
`A = [(1,-2,3),(1,4,1),(1,-3, 2)] and B = [(11,-5,-14),(-1, -1,2),(-7,1,6)]`
find AB and use this result to solve the following system of equations:
x - 2y + 3z = 6, x + 4x + z = 12, x - 3y + 2z = 1
Concept: Types of Matrices
Given two matrices A and B
`A = [(1,-2,3),(1,4,1),(1,-3, 2)] and B = [(11,-5,-14),(-1, -1,2),(-7,1,6)]`
find AB and use this result to solve the following system of equations:
x - 2y + 3z = 6, x + 4x + z = 12, x - 3y + 2z = 1
Concept: Types of Matrices
Show that (A + A') is symmetric matrix, if `A = ((2,4),(3,5))`
Concept: Types of Matrices
Show that (A + A') is symmetric matrix, if `A = ((2,4),(3,5))`
Concept: Types of Matrices
Solve the following system of linear equation using matrix method:
`1/x + 1/y +1/z = 9`
`2/x + 5/y+7/z = 52`
`2/x+1/y-1/z=0`
Concept: Concept of Matrices
Write the negation of the following statements :
(a) Radha likes tea or coffee.
(b) `∃x cc` R such that x + 3 ≥ 10.
Concept: Concept of Matrices
If A = `[(1,2), (1,3)]`, find A2 - 3A
Concept: Concept of Matrices
If the matrix `((6,-"x"^2),(2"x"-15 , 10))` is symmetric, find the value of x.
Concept: Symmetric and Skew Symmetric Matrices
If A is a square matrix of order 3, then |2A| is equal to ______.
Concept: Types of Matrices
If A is a square matrix of order 3, then |2A| is equal to ______.
Concept: Types of Matrices
For what value of k the matrix `[(0, k),(-6, 0)]` is a skew symmetric matrix?
Concept: Symmetric and Skew Symmetric Matrices
Assertion: Let the matrices A = `((-3, 2),(-5, 4))` and B = `((4, -2),(5, -3))` be such that A100B = BA100
Reason: AB = BA implies AB = BA for all positive integers n.
Concept: Types of Matrices
Assertion: Let the matrices A = `((-3, 2),(-5, 4))` and B = `((4, -2),(5, -3))` be such that A100B = BA100
Reason: AB = BA implies AB = BA for all positive integers n.
Concept: Types of Matrices
If A and B are symmetric matrices of the same order, then AB – BA is ______.
Concept: Symmetric and Skew Symmetric Matrices
A matrix which is both symmetric and skew symmetric matrix is a ______.
Concept: Types of Matrices
A matrix which is both symmetric and skew symmetric matrix is a ______.
Concept: Types of Matrices
Define marginal utility.
Concept: Total Utility and Marginal Utility
Differentiate between the expansion of demand and an increase in demand, using diagrams.
Concept: Movement Along the Demand Curve
Figures (A), (B) and (C) given below represent different types of Demand curves.
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 |
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| (A) | (B) | (C) |
What kind of goods do each of these Demand curves represent? Give a reason for each of the curves.
Concept: Demand Curve
Draw a straight-line demand curve joining both the axes. Indicate the following on the demand curve.
Elasticity of demand is equal to zero
Concept: Demand Curve
