Let 4 1 - 3 -2 -9 and 1 A =| - 3 В C =| 0 3 Prove that 5 - 2 -1 1 1 – 4 | (BA)" – A" B" + AC = AC, if possible.

Q: s9-3x then y If y O 89-3x)4 25 O 819-3x)4 25 O 8(0-3x)4 O -24(9-3x)4 O 24(9-3x)4

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Q: Determine the positive real numbers x and y such that • x + y = 4 and 2.n2 + y² is small as…

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Q: 1 2 5. 2 . 5 +1. Va) da Find + C

A: Given: I=∫-5·x6+1x-2x6+1·xdx We know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: The numbers 1, 2, ... 10 are written in a row. Is it possible to put signs - and + between them so…

A: We know that the sum of all the numbers from 1 to 10 is 55

Q: verify that (A + B) + C = A + (B + C)

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Q: Show that (AB)¹ = BTA¹ if A = 2 0 2 0 and B = -1 1 15) -3 1 -1 -1 2 2). a

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Q: Find x and y 24 -2 22 [2x-2y 2 -2 20 21 o -10: [4 : 25 24y 25 2x+y -4

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Q: Find Ax Bx C where A = {1,5}, B={13,17} , C={0}. O (1,13, 0), (1, 17, 0), (5, 13, 0), (17, 5, 0) O…

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Q: 2. Show that if a]b then a'|b² for all integers a and b (Symbols V, 3, A, V, V,A,→,-)

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Q: Prove AX(B−C) = (AXB)−(AXC)

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Q: - If u = -5 -1 then uu = and uTu =

A: Introduction: Matrix multiplication, also known as matrix product and the multiplication of two…

Q: 3. Is B the inverse of A? 1 (a) A = -3] 3] 7 B = 7 [3 2] ,B 4 3 3 -21 (b) A = -4 3 [3 5] 3 . В - B =…

A: Yes, in all (a),(b),(c) .....B is the inverse of A  For detailed explanations ..go through the…

Q: . Let A = 1 03 2 3 4 1 02 Find A-¹ if possible. If A−¹ does not exist, explain why.

A: Given that a matrix A  and we find the inverse of this matix A or A-1.

Q: [1+3* 1- 3k] prove that AK = 1- 3* 1+3*] |1– 3* 1+3% | - 5. For A = -1 2

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Q: 7) Find HJ 2x + 25 G *+ 27 6. *+ 24

A: Given HI = 2x + 25 GJ = x +27 GI = 6 HJ = x + 24

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.