Mathematics Let My People Go — Latest Series This Year, Part 1.

Added: 2026-05-25

[00:00:54]10 22 12 22 Stop doing that.

[00:01:42]That's this question.

[00:01:48]enough something inside.

[00:02:06]All right, that's great.

[00:02:11]Let us write this. Given that given that given that vector A is = 33 3 and vector B is = -12 2 - 1 2 Right.

[00:03:10]Find the following.

[00:03:13]Find a a + 2 b then b a - 3 b.

[00:03:33]All right.

[00:03:36]I will touch on this one then I'll touch another one.

[00:03:45]Yes.

[00:03:52]Vector A3 and vector B is -1 2 vector A + 2 BT 2 * B* vector B which is -1 2. Let's go.

[00:04:27]3 2 * this one - 2 2 * this one.

[00:04:44]3 + - 2 we are going to get what? 1.

[00:04:50]Then 3 + 4 try 2 hours 22 minutes.

[00:05:14]Maybe per life we are going to uh be here less than that because of some reasons live make sure you are connected very well so that you you don't miss anything very soon let's go Try substitute.

[00:05:46]>> Yes. What is substitute?

[00:05:51]>> A 3 here.

[00:05:56]>> Thenus.

[00:05:58]>> Yes.

[00:06:04]>> Then 3.

[00:06:05]>> 3. Yes.

[00:06:08]>> Divide.

[00:06:09]Are we going to divide for it or going to multiply?

[00:06:12]>> We are going to multiply -3.

[00:06:15]It's not minus. Yeah, that's what the secret is. It's not minus. You get because this negative is for the subtraction of this product and this product three times. Three times a It's notus >> six.

[00:06:52]Now this negative 3 - 3 we going to get six. Is that correct?

[00:07:00]>> Right. Then 3 - 6 you're going to get >> minus three. So this is going to be the answer.

[00:07:09]I'm not miss and and so you're going to substitute. So that is >> let's go now. Right.

[00:07:49]The next one given that given that C is equal to 3 A + 2 B C= 3 A + 2 B. What is the value of C?

[00:08:12]What is the value of C? C I 3 A + 2 B C.

[00:08:34]All right. So three 3 * 3 9 3 * 3 9 So - 2 * this one - 3 2 * 4 - 2 11 9 - 4 5 subitute Yes.

[00:09:33]>> Which one? Yeah. Muslim - 2.

[00:09:48]Yes. Then it's a plus.

[00:10:17]Right. Can Now I know that is so And it is given.

[00:11:13]It is given.

[00:11:16]It is given that the position vector O A is equal to 21 and O B is equal to -13 find Maybe too much position vector.

[00:12:06]That's why something there like this A But a * the last vector O minus the first vector O A * vector minus the first vector. So the last minus right o 2 then 2 -1 - 2 >> - 3 then 3 - 1 2 multiply means the last vector minus the first what vector.

[00:14:06]Very clear.

[00:14:15]to say PQ is equal 8 - and Q is a point and Q is a point point of D6.

[00:15:08]Number find the coordinates of P.

[00:15:26]Find the coordinates of P.

[00:15:49]vectors they are multipus the first vector It's not written.

[00:16:16]Pus 8 - 6. So 8 where there is do I have a value of Q? Yes.

[00:16:39]6 is a vector.

[00:16:50]Right.

[00:16:55]P minus 8 - 6 P= 6 - 8 9 - - 6 15 P R and find the O Ordinance vector 15ordinate.

[00:18:17]advice.

[00:18:24]Maybe the last one.

[00:18:32]Oh yeah, I all right.

[00:18:51]As it is given that a = 3 and - 4 find of aitude magnitude of what of a magnitude Let us say value x² value y value x Alus.

[00:20:08]>> Yes.

[00:20:12]>> Yeah. X2 value of the value of X² plus the value of Y 2.

[00:20:37]What is the value of x d3 2 plus the value of y - 4 - 4 dus 16 plus or minus I think your window WhatsApp.

[00:22:05]One question.

[00:22:25]my enemies.

[00:22:27]Come on.

[00:22:45]I'm not really Infinity.

[00:23:47]Thank you again.

[00:24:12]All right.

[00:24:18]and a mama - 2 -1 6 2 is = 0 -1 4 4 A trans 3 a - b² Great.

[00:25:06]Let me see.

[00:25:16]A to the power minus one.

[00:25:33]Let's life more share life more like more.

[00:26:06]Yes.

[00:26:09]Right.

[00:26:16]A matricit 3. A bart 6 2 3 * this one >> - 6 sorry - mat mat 0 -1 4 like this - 6 3 * -1 Huh?

[00:27:02]>> - 3 >> - 3 3 * 6 >> 18 3 * 2 >> 6 0 - 1 4 like this.

[00:27:37]gym card.

[00:27:45]So good - 6 - 6 - 3 - -1 - 3 - 3 + 1 which is the same as 1 - 3 - And 18 14 6 - 4 answer addition.

[00:28:55]ideas.

[00:28:58]Modification modification All right.

[00:29:40]mat mat.

[00:29:44]What is our mat b 0 4 mip mat b again? 0 -1 4 multiplication.

[00:30:05]Let's go.

[00:30:20]2 4 6 8 8 5 order of this mattress.

[00:30:39]Two.

[00:30:45]One. Two.

[00:30:52]Two by3 mattress.

[00:31:04]Same price. Multiply.

[00:31:11]First second mattress.

[00:31:25]So first column second row by first column.

[00:31:43]First row by first - 1 * 9 * 4 - 4 row Second top plus - 1 * 4 - 4 Second row by first column >> 4 * 0 >> plus 4 * 4 >> second row again multiply second G column Four >> plus this timeus 4 - 4 - 16 - 4 + 16 -4 + 16 >> 212 answer By corner, row by >> corner.

[00:34:23]Find a 6 - 4 4 like this.

[00:34:53]And last question to the power - 1 a power one the inface The inverse of a number.

[00:35:29]It simply means the inverse of g of a bus inverse of first detus B Catal A C E - 2 B -1 C D6 D D2 A minus BC 2 - 2 * 2 - 4 this one - 1 * 6 right - 4 + 6 2 m a d2 of mat Right.

[00:37:37]Inverse match is equal to one determinant.

[00:37:46]One over determinition.

[00:38:10]Let's do that.

[00:38:12]2 minus what? Two. Hallelujah. Right.

[00:38:28]us.

[00:38:35]Are you getting this?

[00:38:47]Morning teacher.

[00:39:07]Excuse me.

[00:39:37]I did that. Hey, >> I think I was not subscribed on YouTube.

[00:39:47]Go on YouTube and subscribe.

[00:39:51]Someone yesterday I let my people go. So I I will send let my people go for 2026.

[00:40:02]So make sure you are my subscriber.

[00:40:18]special.

[00:40:22]Thank you.

[00:40:32]Yes, thank you.

[00:40:37]Thank you so much.

[00:40:54]I'm telling at least including Yesh.

[00:41:23]Share, share, share, share.

[00:41:29]Share.

[00:41:31]Thank you so much.

[00:41:55]plus $2.

[00:42:25]follower. That's what you got. I voting for free.

[00:42:41]forc I think seven just one question that I want you to Yes.

[00:43:16]Hi.

[00:43:24]If - 2 P + 3 then P - 4 P like this.

[00:43:38]He has no inverse.

[00:43:47]Find the two possible values of P.

[00:43:54]Find the two possible values of P.

[00:44:13]Universe teacher value.

[00:44:30]Thank you pastor Lulu for sharing.

[00:44:34]All right.

[00:44:39]My sister, how are you?

[00:44:44]Oh, okay.

[00:44:50]Thank you. Thank you. Thank you so much.

[00:45:08]Yes. Yes. Yes. Thank you my teacher.

[00:45:12]Thank you.

[00:45:16]All right.

[00:45:32]Yes.

[00:45:37]All right.

[00:45:39]All right.

[00:45:46]So, don't request. Don't request.

[00:45:53]Don't first time.

[00:46:21]We want information like follow2 teacher. Right.

[00:47:12]Now find two possible values of P inverse.

[00:47:20]I say in a determin of what? of sins.

[00:47:58]Yes. No invisible values of P.

[00:48:27]E >> which is -2 then p + 3 then -4 p like this.

[00:48:59]Inverse A minus B C - 2 - 4 minus DP + 3= Z has no inverse singular singular same - 2 * - 4 8 - * - >> p * 3 - 3 gus 3 p this way Wonderfulus 3 8 P - 3 P those P²= And 8 P - 3 P >> 5 P - G >> P² >> P² is equal to the same question.

[00:51:08]5 - 2 is = DP bracket P into 5 P 7US P into P² P is equal to Z Listen, what is the multip of this bracket?

[00:51:44]>> DP X div 5 - the Second bracket 5 - P is = 0 both side by PUS P this way P D5 or P D7 Right.

[00:53:59]Yes.

[00:54:06]Thank you.

[00:54:09]Yes, yes, yes, yes.

[00:54:56]True.

[00:55:02]That is so is a spontaneous time.

[00:56:03]Right now 3 m - 5 n is = 13 m + n is = 2.

[00:56:19]This is multinous equation, right?

[00:56:40]Force by force.

[00:56:54]First, ache.

[00:57:20]the entire equation again this way. Let's do that. So 12 L - 4 * this one >> 20 this one is equal 4 * 18 >> 52 >> 52 correct right 3 * this one 12 m 3 * this one >> plus 3 * this one >> 6 right 12 m - 12 Z out and - 20 - 3 N - 20 N - 3 N - 23 N is equal and 52 - 6 Huh?

[00:58:45]>> 46.

[00:58:46]>> 46.

[00:59:02]Right.

[00:59:09]Don't divide both side byus.

[00:59:21]First value first.

[00:59:32]question 3 m - 5 n = 13 4 m + n = I'm sorry.

[01:00:23]- 2. 4 m + - 2 is your what?

[01:00:29]4 malus.

[01:01:06]Yeah.

[01:01:15]6 months.

[01:01:20]But >> Excuse me.

[01:01:32]6 months.

[01:01:43]Yes.

[01:02:05]12th November All right, I'll check it.

[01:02:11]>> Let me check.

[01:02:27]>> All right, it's okay.

[01:02:36]concept how to do it, >> not how to cop it.

[01:02:46]You choose the right numbers.

[01:03:19]4x^us y^ 2 is = 4.

[01:03:26]Then 2x + y = 1.

[01:04:01]All right. E depend right 4x^2us y substitution Are you getting two squares? Check it.

[01:04:58]Difference of G of two squares. Let's go. E. difference. Let's agree on that, right?

[01:05:06]>> D2us y 2x + 2x= 1. You get it?

[01:05:35]X² which is what X2ow Pardon me. Obviously 2x - y 2x + y 2x + y= 2x - y 2x + y is 4.

[01:06:37]Yes. 13 2x + y 2 x + y that is a one.

[01:06:55]All right.

[01:06:58]Who knows?

[01:07:07]Y 2x + yip each 2x - y= 4.

[01:07:38]Let's continue right friends of two.

[01:08:06]So that substitute that 2x - y 2x plus my motor.