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If A=d i ag\ (2\ -5\ \ \ 9) , B=d i ag\ ...

If `A=d i ag\ (2\ -5\ \ \ 9)` , `B=d i ag\ (1\ \ \ \ 1\ -4)` and `C=d i ag\ (-6\ \ \ 3\ \ \ 4)` , find `A-2B` (ii) `B+C-2A` (iii) `2A+3B-5C`

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To solve the given problem, we need to perform operations on the diagonal matrices \( A \), \( B \), and \( C \). Let's break it down step by step. ### Given Matrices: 1. \( A = \text{diag}(2, -5, 9) \) 2. \( B = \text{diag}(1, 1, -4) \) 3. \( C = \text{diag}(-6, 3, 4) \) ### Step 1: Calculate \( A - 2B \) ...
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If A="diag "[2,-5,9],B="diag "[-3,7,14]" and "C="diag "[4,-6,3] , find: (i) A+2B1 (ii) B+C-A (iii) 2A+B-5C.

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Knowledge Check

  • If A:B=2:3 , B:C = 4:5, C:D = 6:7. then A : B : C : D is-

    A
    `18 : 24 : 30 : 35`
    B
    `16 : 24: 30 : 35`
    C
    `16 : 22 : 30 : 35`
    D
    None of these

  • If a: b = 2/9 : 1/3, b: c 2/7 : 5/14 and d : c = 7/1 : 3/5 then a : b :c : d is:

    A
    `4:6 : 7 : 9`
    B
    `16 : 24 : 30 : 35`
    C
    `8 : 12 : 15 : 7`
    D
    `30 : 35 : 24 : 16`

  • If A : B = 2 : 5, B : C = 4 : 3 and C:D = 2:1 , what is the value of A : C : D ?

    A
    `6 : 5 : 2 `
    B
    `7 : 20 : 10`
    C
    `8 : 30 : 15`
    D
    `16 : 30 : 15 `

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    Find : (a) 1/2 of (i) 24 (ii) 46 (b) 2/3 of (i) 18 (c) 27 (d) 3/4 of (i) 36 (d) 4/5 of (i) 20 (ii) 35

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    If A : B = 1 : 2, B : C = 3 : 4 and C : D = 5 : 6, then find the value of D : C : B.

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