Home
Class 12
MATHS
"If A"=[{:(,8,0),(,4,-2),(,3,6):}] and B...

`"If A"=[{:(,8,0),(,4,-2),(,3,6):}] and B=[{:(,2,-2),(,4,2),(,-5,1):}]` then find the matrix X, such that 2A+3X=5B

Text Solution

AI Generated Solution

To solve the equation \( 2A + 3X = 5B \) for the matrix \( X \), we will follow these steps: ### Step 1: Write down the matrices A and B. Given: \[ A = \begin{pmatrix} 8 & 0 \\ 4 & -2 \\ ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-1|7 Videos

  • MATRICES & DETERMINANT

    RESONANCE|Exercise SECTION-B|18 Videos

  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the matrix 'X' such that 3A + X = 5B.

If A = [(1,0,1),(0,2,3),(1,2,1)]and B = [(1,2,3),(1,1,5),(2,4,7)] , then find the matrix X such that XA = B

A={:[(1,2),(3,4),(5,6)]:},B={:[(0,1),(-1,2),(-2,1)]:} , then find matrix X such that 2A +3X=5B.

if A=[{:(1,6),(2,4),(-3,5):}]B=[{:(3,4),(1,-2),(2,-1):}], then find a matrix C such that 2A-B+c=0

if A=[{:(1,2,3),(4,5,6):}]and B=[{:(-3,-2),(0,1),(-4,-5):}], then find AB and BA ,

Given A=[(1,2,-3),(5,0,2),(1,-1,1)] and b=[(3,-1,2),(4,2,5),(2,0,3)] , find the matrix C such that A+C=B .

If A=[{:(1,-5),(-3," "2),(4,-2):}]" and "B=[{:(3," "1),(2,-1),(-2," "3):}] , find the matrix C such that A+B+C is a zero matrix.

If A=[{:(4,2),(1,3):}]" and "B=[{:(-2,1),(3,2):}] , find a matrix X such that 3A-2B+X=O.

If A=[804-236] and B=[2-242-51] then find the matrix X of order 3xx2 such that 2A+3X=5B

If A=[{:(2,-3),(4," "5):}]" and "B=[{:(-1,2),(0,3):}] , find a matrix X such that A+2B+X=O.

RESONANCE-MATRICES & DETERMINANT-HLP
  1. "If A"=[{:(,8,0),(,4,-2),(,3,6):}] and B=[{:(,2,-2),(,4,2),(,-5,1):}] ...

    Text Solution

    |

  2. If a^2+b^2+c^2=1, then prove that |a^2+(b^2+c^2)cosvarphia b(1-cosv...

    Text Solution

    |

  3. prove that |{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),...

    Text Solution

    |

  4. Prove that Delta=|{:(,beta(gamma),beta(gamma)'+beta'(gamma),beta'(gamm...

    Text Solution

    |

  5. If a x1 2+b y1 2+c z1 2=a x2 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d ,a...

    Text Solution

    |

  6. if (x(1),x(2))^(2)+(y(1)-y(2))^(2)=a^(2), (x(2)-x(3))^(2)+(y(2)-y(3))^...

    Text Solution

    |

  7. Let A=[(cos^(- 1)x,cos^(- 1)y,cos^(- 1)z),(cos^(- 1)y,cos^(- 1)z,cos^...

    Text Solution

    |

  8. If y=(u)/(v), where u and v are functions of x, show that v^(3)(d^(2...

    Text Solution

    |

  9. If alpha&beta be the real roots of ax^(2)+bx+c=0 and s(n)=alpha^(n)+be...

    Text Solution

    |

  10. let a > 0 , d > 0 find the value of the determinant |[1/a,1/(a(a + d))...

    Text Solution

    |

  11. Let overset(to)(a(r))=x(r )hat(i)+y(r )hat(j)+z(r )hat(k),r=1,2,3 thre...

    Text Solution

    |

  12. If |(x^k,x^(k+2),x^(k+3)), (y^k,y^(k+2),y^(k+3)), (z^k,z^(k+2),z^(k+3)...

    Text Solution

    |

  13. If the determinant |(x+a,p+u,l+f),(y+b,q+v,m+g),(z+c,r+w,n+h)| splits ...

    Text Solution

    |

  14. If a,b,c are all distinct and |[a,a^3,a^4-1],[b,b^3,b^4-1],[c,c^3,c^4-...

    Text Solution

    |

  15. If a,b,c are comples number and z=|{:(,0,-b,-c),(,bar(b),0,-a),(,bar(c...

    Text Solution

    |

  16. If f(x)=log(10)x and g(x)=e^(ln x) and h(x)=f [g(x)], then find the va...

    Text Solution

    |

  17. If A=[{:(,1,a),(,0,1):}] then find lim(n-oo) (1)/(n)A^(n)

    Text Solution

    |

  18. "Let" P=[{:(,"cos"(pi)/(9),"sin"(pi)/(9)),(,-"sin"(pi)/(9),"cos"(pi)/(...

    Text Solution

    |

  19. Let A=[{:(,1,1,1),(,1,1,1),(,1,1,1):}] , B=[{:(,2,-1,-1),(,-1,2,-1),(,...

    Text Solution

    |

  20. Let 'A' is (4xx4) matrix such that the sum of elements in each row is ...

    Text Solution

    |

  21. Let A=[{:(,x+lambda,x,x),(,x,x+lambda,x),(,x,x,x+lambda):}]then prove ...

    Text Solution

    |