मराठी

Determine the Product Matrix`[(-4,4,4),(-7,1,3),(5,-3,-1)][(1,-1,1),(1,-2,-2),(2,1,3)]` and Use It to Solve the System of Equations X - Y + Z = 4, X- 2y- 2z = 9, 2x + Y + 3z = 1

Advertisements
Advertisements

प्रश्न

Determine the product `[(-4,4,4),(-7,1,3),(5,-3,-1)][(1,-1,1),(1,-2,-2),(2,1,3)]` and use it to solve the system of equations x - y + z = 4, x- 2y- 2z = 9, 2x + y + 3z = 1.

Advertisements

उत्तर

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2016-2017 (March) All India Set 1

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

If A is a square matrix, such that A2=A, then write the value of 7A−(I+A)3, where I is an identity matrix.


Find the value of x, y and z from the following equation:

`[(x + y, 2),(5 + z, xy)] = [(6, 2), (5, 8)]`


Let A = `((2,-1),(3,4))`, B = `((5,2),(7,4))`, C= `((2,5),(3,8))` find a matrix D such that CD − AB = O


if the matrix A =`[(0,a,-3),(2,0,-1),(b,1,0)]` is skew symmetric, Find the value of 'a' and 'b'


Show that a matrix A = `1/2[(sqrt2,-isqrt2,0),(isqrt2,-sqrt2,0),(0,0,2)]` is unitary.


If 𝒙 = r cos θ and y= r sin θ prove that JJ-1=1.


Find the non-singular matrices P & Q such that PAQ is in normal form where`[(1,2,3,4),(2,1,4,3),(3,0,5,-10)]`

 


Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[(2, 0, 0),(3, -1, 0),(-7, 3, 1)]`


Identify the following matrix is singular or non-singular?

`[(5, 0, 5),(1, 99, 100),(6, 99, 105)]`


Identify the following matrix is singular or non-singular?

`[(3, 5, 7),(-2, 1, 4),(3, 2, 5)]`


Find k if the following matrix is singular:

`[(7, 3),(-2, "k")]`


If A = `[(5, 1, -1),(3, 2, 0)]`, Find (AT)T.


The following matrix, using its transpose state whether it is symmetric, skew-symmetric, or neither:

`[(0, 1 + 2"i", "i" - 2),(-1 - 2"i", 0, -7),(2 - "i", 7, 0)]`


Select the correct option from the given alternatives:

If A and B are square matrices of equal order, then which one is correct among the following?


If A = `[(3, 1),(-1, 2)]`, then prove that A2 – 5A + 7I = O, where I is unit matrix of order 2


If A = `[(1, 3, 3),(3, 1, 3),(3, 3, 1)]`, then show that A2 – 5A is a scalar matrix


If A and B are matrices of same order, then (3A –2B)′ is equal to______.


For the non singular matrix A, (A′)–1 = (A–1)′.


If A is a square matrix such that A2 = A, then (I + A)2 - 3A is ____________.


A diagonal matrix is said to be a scalar matrix if its diagonal elements are


Find X, If `[X - 5 - 1] [(1, 0, 2),(0, 2, 1),(2, 0, 3)][(x),(4),(1)] ` = 0


If `[(1, 2, 1),(2, 3, 1),(3, a, 1)]` is non-singular matrix and a ∈ A, then the set A is ______.


If A is a square matrix of order 3, then |2A| is equal to ______.


A matrix with only one column is called a:


If \[m=n\], what type and order does the matrix have?


Which general form represents a square matrix?


Which elements can be non-zero in a diagonal matrix?


Which matrix is an identity matrix?


What role does the zero matrix play in matrix algebra?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×